Background information Edit
The registry number of the shuttle has never been legible in the movie, but was derived from a behind-the-scenes picture of the model that was later published in the reference book, Star Trek: The Next Generation - The Continuing Mission, p. 171.
The model was designed and built by Bill George and John Goodson at ILM and was later modified and reused as the Sydney-class USS Jenolan in the Star Trek: The Next Generation sixth season episode "Relics" in 1992. (Michael Okuda, "Departmental Briefing Year Six - Production", TNG Season 6 DVD special feature)
For further information on the studio model, see: SD-103 model.