The onus is on you, since you are the one making the claim, that not only did Jesus exit (he may have) but that he was also the Son of God.
If you SINCERELY want to know if Jesus is the Son of God and that He existed, there is an excellent book called The Case For Christ by Lee Strobel.
This was written by a guy whom as an athiest set out in search of evidence and material to prove Jesus Christ to be a fraud.....
" He has a Master of Studies in Law degree from Yale Law School and was an award-winning journalist at the Chicago Tribune. He was a courtroom analyst and the legal Editor of the Chicago Tribune. He conducted his examination with no religious bias, other than his predisposition to atheism. Strobel asks one thing of each reader - remain unbiased in your examination of the evidence. In the end, judge the evidence for yourself. "
The entire premise of your Belief structure is that you Can NOT prove with evidence that he existed, or even if he did that he was the Son of God. Because you have to have Faith.
Having Faith, by definition, requires no empirical evidence
It is truly amazing how one has to assume that just because we believe (or, in your case disbelieve) something makes it true or not.
We believe in many things we can’t see.
Have you ever seen the wind? History? Have you ever seen your brain? We see the ‘effects’ of the wind but it is invisible. We have records of history but it is by ‘faith’ that we believe certain historical events happened. Television waves are invisible but cable and the like can detect their presence. The same principle applies to those who are ‘connected’ to God are aware of the invisible spiritual realm which is unseen and unknown by those like yourself who have no desire to be part of God.
By ‘faith’ you claim there is no God….so where is this empirical evidence of yours that says this ?