Hi all,
Very nice, it is a big, freshly dead shell and my suspicion would be that someone had very recently eaten the occupant.
I wouldn't put it in the tank unless you keep Malawis etc. that like a high pH/KH. The shell form of calcium carbonate ("aragonite") is more soluble than limestone pebbles etc. ("calcite").
As Stan says it is an oyster shell (Pacific Oyster), and you got it from the right area as "Whitstable" oysters are famous, although I've just read that the N. Kent coast ones are apparently suffering from "Oyster herpes" so this maybe what happened to the shell's occupant (you would normally cut the "hinge" between the shells to open them).
cheers Darrel