One might chose to discount Josephus.
But then, there is Tacitus, who says:
"But not all the relief that could come from man, not all the bounties that the prince could bestow, nor all the atonements which could be presented to the gods, availed to relieve Nero from the infamy of being believed to have ordered the conflagration, the fire of Rome. Hence to suppress the rumor, he falsely charged with the guilt, and punished Christians, who were hated for their enormities. Christus, the founder of the name, was put to death by Pontius Pilate, procurator of Judea in the reign of Tiberius: but the pernicious superstition, repressed for a time broke out again, not only through Judea, where the mischief originated, but through the city of Rome also, where all things hideous and shameful from every part of the world find their center and become popular. Accordingly, an arrest was first made of all who pleaded guilty; then, upon their information, an immense multitude was convicted, not so much of the crime of firing the city, as of hatred against mankind."
Tacitus, ANNALS
He was a Roman historian who had no agenda except to document what had happened.
There are also a number of apocryphal gospels that provide much evidence.
The Roman Historian Tacitus...in one of the 4 surviving volumes of his18 volume Histories...wrote of the founder of Christianity..."Christos". He describes his as about 5'9" tall and weighing about 175 pounds having long brown hair styled in the way of the Jewish males of the time. His eyes were said to be bluish grey! He was otherwise of ordinary appearance. Tacitus had traveled thru the known world and had gathered much info about all sorts of things including the known religious impulses of the era. He was said to have visited Mary, Jesus' mother! The Histories were published around 70 to 80 AD though Tacitus was a much younger man at the time of his travels!
I would just assume trust Tacitus who at least claimed to have spoken with some witnesses of the times!