I'm always reluctant to condemn a coin based solely on a picture, especially a "poorly lilt" one. But in this case, you are probably wise to assume it's fake until proven otherwise.
As was noted in the old archived threads,
here,
here and
here, these coins are marketed as "thirty pieces of silver" coins, and copies of these coins are often sold to tourists in the holy land (a place where the sale of genuine ancient coins is illegal). If your father was an ancient coins or biblical coins enthusiast, it probably is genuine, but if he was only a casual collector and this is his only ancient coin, or you know he visited the middle east at some point, it's quite likely to be fake.
Where to go from here? Better pictures might help - grab a camera with a good macro setting, or try a flatbed scanner - older scanners work quite well on coins. Another thing you can do is give us some measurements - diameter in mm, and weight in grams. I'm not sure how useful those statistics will be, because your coin appears to be "clipped" - it's missing most of the Greek legend on the reverse. If it's much smaller than the other coins, it might even be a didrachm or drachm, rather than a tetradrachm.
Don't say "infinitely" when you mean "very"; otherwise, you'll have no word left when you want to talk about something really infinite. - C. S. Lewis