Nonreligious bases for morality: Is this all there is?

In an important sense, there are two moral motivations that seem to me to be independent of religion. One is our desire to function socially. We want others to treat us well, so we do the same to others. The other is our sympathy and empathy for others. Atheists, like everyone else, have social interests, and natural sympathy for others. But the question then arises, is that all there is to morality?