peace pigeon?

Today in class we were learning all kinds of things- and one of them was the names in Arabic for a few animals.  We got to a bird and someone said, "is that a pigeon?"  and the teacher said, "no- it makes a oooo, hooo, oooo, hooo sound."  And then I said, "a dove?"  and she said, "yes!  it is a dove."   And then another student said. "so it is the same as the bird for peace?"  And the teacher said, "No - that is a pigeon for sure."  
And we all laughed.  I guess in Arabic, there is the peace pigeon.