Your apple looks like my mom's Liberty apples, but that means nothing. Guessing apple varieties is very difficult even by experts who are standing with the trees, able to judge the leaves, the fruit size, color, and taste. It just isn't something we have figured out how to do it online.
I did find this from Iowa State, explaining the challenge and options. The UC Davis DNA fingerprinting pages are linked there, so you might enjoy checking out that option.