The Talmud is a collection of Jewish teachings on a wide variety of subjects, collected from many rabbis.
Jesus mentioned in the Babylonian Talmud?
A passage in the Talmud is used by apologists as validation of the existence of Jesus. 
- "On the eve of the Passover Yeshu was hanged. For forty days before the execution took place, a herald went forth and cried, 'He is going forth to be stoned because he has practiced sorcery and enticed Israel to apostasy. Any one who can say anything in his favor, let him come forward and plead on his behalf.' But since nothing was brought forward in his favor he was hanged on the eve of the Passover!"
This seems to be a coincidental reference to some other person. The Jesus of Christianity was said to be executed the day after his trial and not have an over 40 day wait for execution. Jesus was executed on or after Passover Mark 14:12; 15:1, 25 , not on the eve of Passover.  According to the Bible, Jesus was crucified not hanged.
More over the Jesus in the Talmud appears to have lived and died a hundred years before the Jesus of the Bible
Epiphanius, in Panarion 29 in the 4th century expressly states "For the rulers in succession from Judah came to an end with Christ's arrival. Until he came the rulers were anointed priests, but after his birth in Bethlehem of Judea the order ended and was altered in the time of Alexander [Jannaeus], a ruler of priestly and kingly stock."
Abraham ben Daud of the 12th century writes "The Jewish history-writers say that Joshua ben Perachiah was the teacher of Yeshu ha-Notzri [the Nazarene], according to which the latter lived in the day of King Janni [Jannaeus]; the history-writers of the other nations, however, say that he was born in the days of Herod and was hanged in the days of his son Archelaus. This is a great difference, a difference of more than 110 years."
- "Non biblical accounts of New Testament events and/or people" CARM
- Rachel-Esther bat-Avraham (5772/2012) "Does the Talmud speak of Jesus’ crucifixion?" becomingjewish.org
- Carpenter, Joseph Estlin (1904) The first three Gospels: their origin and relations - Page 313
- Efrón, Joshua (1987) Studies on the Hasmonean Period Brill Academic Pub Page 158
- 20 Reasons that Jesus Lived in the First Century B.C