Quote
Law 68C: A claim should be accompanied at once by a clear statement as to the order in which cards will be played, of the line of play or defense through which the claimer proposes to win the tricks claimed.
"I have the rest" is not "a clear statement as to the order in which cards will be played". Therefore, there is doubt as to what line declarer had in mind (and I don't care if he's Joe "I just fell off the turnip truck" or the greatest card player who ever lived). The director is instructed to give the benefit of the doubt to the non-claiming side. Play of the
♠J might well be careless or inferior for the class of player involved, but it's still "normal" within the meaning of the law. BBradley is correct then that the director should rule on the basis that declarer might lead the
♠J, thinking it is good. In such a case, East might well get three tricks, so the correct ruling is three tricks to EW.
If you don't want this kind of ruling on your claims, then for God's sake, make a clear claim statement when you claim!
Note that "should" in the quoted law means that failure to do it is an infraction of law. You don't get to break the law and then have the director give you your claim on a silver plate.