Do atheists reject the historical records of Cornelius Tacitus?

Tacitus, the Roman historian's birth year at 64 C.E., puts him well after the alleged life of Jesus. He gives a brief mention of a "Christus" in his Annals (Book XV, Sec. 44), which he wrote around 109 C.E. He gives no source for his material. Although many have disputed the authenticity of Tacitus' mention of Jesus, the very fact that his birth happened after the alleged Jesus and wrote the Annals during the formation of Christianity, shows that his writing can only provide us with hearsay accounts.