Who is paying the bills? Is dad still paying your rernt, food, clothing, etc? If so, it is good to honor his wishes while you are still living at home.
When you are fully out on your own paying your own way 100% he may have less say in the issue. Not getting a tattoo is not the end of the world. You'll live without it. As the others have pointed out, depending upon what you get and where, it may limit your job possibilities in the future.