I would say the belief that no god exists, but i think we are both saying the same thing.I have always understood atheism as the conscious and deliberate denial of belief in the existence of any deity or belief in the supernatural as a whole
That is atheism. I understand that people have taken the word to me a "not belief." Many seen to use it in this manner.
That you do not root you belief in god not existing in evidence doesn't matter. You fit squarely within the atheist definition of how anyone uses the word. Some will just further label you a "strong atheist."
Of course your belief informs other beliefs. That is generally how are beliefs work. Atheism is a broad label, as is theism and agnosticism. It is only used to separate people on a basis of those particular beliefs. Any effort to pursue a more specific label is just an effort to further distinguish yourself by other views. None of which will replace the broad label of atheist.
Just as a Christian will always be a theist, despite the more specific label, so too will you be an atheist despite any more specific label you devise.