Mick Jagger owned an original four-rotor Enigma encoding machine which he loaned to the film for historical accuracy in constructing props.
When Hester Wallace decodes the long list of Polish names the camera zooms in on the name "Zygalski". Henryk Zygalski was a Polish mathematician who helped to break Enigma.
When he's tapping on the desk with a pencil, Tom is spelling out "Claire" in Morse code.
One of the motivations behind making this movie was the indignation of many British World War 2 veterans (and civilians) over the movie U-571 (2000), in which the capture of the Enigma was shown to be done by American navy officers (despite the fact that the makers of that movie had indicated their movie to be a work of fiction and no accurate portrayal of the events leading to the capture of the Enigma).