The term "atheism" might be misleading in the first place. Atheism is not an actually a -ism, but we referer to that term because people, hopefully, know what it indicates.
if you ask an atheist, agnostic or any other person who does not believe in a moral/ethic giving God, such thing as morals and ethics are regarded as social matters.
To explain it with a simplified example:
If only one person exists in the world, such thing as moral og ethic that regards human, are irrelevant. But as soon as we have more than one person, we might talk about what is right and wrong to do to each other. Therefore, atleast I think, morals and ethics are social matters.
Some might speculate about such thing as suicide: is it social matters? I think the answer is yes, mostly; you do not want close people to commit suicide.
But basicly, atheism do not work under any assumptions other than atheist might think that they cannot deny God but need evidence the existence of such "thing", the idea of God is unlikely, or to denying the existence of God. Somewhere between these two poles. Just if really want to find some sort of assumptions.
At "worst", atheists assume one thing. But as its core, atheists do not assume anything sicne: what is the idea of God anyways?