FYI the size of the data isn't very relevant in this case.

Shannon-Hartley, baby! What you've said is a good rule of thumb, but transmissions from Earth to Jupiter, especially if the probe is using its low-gain antenna (which it was during the insertion burn) are often done at an incredibly low bitrate to achieve an acceptably low level of error.

To intuit why that's the case, consider how the fine details of a radio station turn to fuzz as you drive further and further away. If I'm on air reading the creepy love letters I'm sending you at breakneck speed, it won't be long until you can't make out enough detail to be sure of what I'm saying, and soon after you're probably going to be unable to make out any of my sweet, sweet poetry at all. When the signal is weak enough, you can't understand anything I say, no matter how many error-correcting codes I use.

Now, imagine that I'm doing the same thing, but instead of reading normally, I've opted for a less information-dense way of communicating with you, translated the restraining order you put on me into Morse code, and am screaming it at the top of my lungs. I'm transmitting information at a much slower rate than I was before, but you can easily hear the difference between screaming and not screaming even when your reception is so bad that you couldn't understand a word I say.

Anyway, the point of this is that there is an upper limit on the rate at which you can transmit information like this without it turning into complete garbage, so /u/LordLimes was actually kinda onto something.