Atheism doesn't depend on science at all. Nevertheless, science implies atheism several ways.Science points more toward God than toward atheism.
 First, science, like secular humanism, lends support to the principle of rational skepticism, which is the mother of atheism, science and humanism. Those three are each the result of the application of rational skepticism to matters of the supernatural, the natural, and human life respectively. Since they are all fruit of the same tree, the stunning successes of science, such as the polio vaccine and space travel, and of secular humanism, such as the US Constitution and individual political freedoms, suggest that atheism is just as valid.
 Second, science shows us that every creation myth is a fabrication, meaning that extraordinary religious proclamations that can be checked have uniformly been found to be wrong. Once we understand where religious thought comes from, and what its standards of scholarship are - making things up and saying that a god told you - we understand where the concept of a god comes from: man's imagination.
 Third, science has shown that we don't need a god. There was never was a reason to even consider the possibility of a god except to explain the otherwise inexplicable. And science does that better. With each of its pronouncement, every god shrinks into a smaller gap. Religion is dying wherever science is thriving.
 Fourth, scientists have been studying our reality at every scale from the Higgs boson (CERN) to the cosmological scale (WMAP) since the invention of the microscope and telescope, and have never found a scintilla of evidence for a designer. Nothing. Scientists have shown repeatedly that prayer fails.
That is four different ways that science affirms atheism. That's plenty.