I don't know if economists would agree, but I'd say that the intrinsic value of a thing is the value that exists in the absence of other people's desire for that thing. A loaf of bread has intrinsic value for its nourishment and ability to sustain life. These properties would be present even if no other human desired the loaf of bread. Similarly, gasoline has chemical energy which can effect work, and this would still be true if every other human disappeared. Gold has useful properties that make it well-suited for a number of industrial applications, wholly apart from it's attractiveness or usefulness as a store of wealth.
On the other hand, Bitcoin has no "intrinsic" value by this definition. Its value is wholly derived from other people's interest and belief. If other people stopped using Bitcoin, any and all Bitcoins you hold would be instantly valueless. There is no meaningful trust, no useful verifiability, in the absence of others' continued desire for Bitcoins.
Under this definition, I can see no "intrinsic" value for the US dollar or any other fiat currency, either. They all derive their value from others' continued use. If everyone else stopped using USD tomorrow, your bank account contents would be worthless.
The real question is whether Bitcoin is like the dollar, in that it has no intrinsic value but may nonetheless sustain practical value long-term, or if it's like the Tulip, in that it has impressive prices but no long-term practical value.