No, from the caret it’s simply L. No shift. Hit L, then start typing or playing pitches.
Shift+Alt+up.down is great but Ctr+Alt+up/down doesn’t work on my setup. Is that something that can be changed in the Key Commands?
These can, of course, be changed in the Key Commands page within Preferences. Note that these four shortcuts work in different ways: the ones in “Note Editing” move existing notes, whereas the ones in “Note Input” influence the octave of the next note typed in steptime entry, when typing pitches with a (Qwerty/Azerty/Qwertz etc.) keyboard.
At the end of every Version History document from at least the last two years, there’s a page that looks like this:
If the octave shortcuts aren’t working, this might explain why. If you’re on Mac, then you shouldn’t be expecting Ctrl+Alt+Up/Down to work: you should be using Cmd+Alt+Up/Down.
Also, I didn’t find these short cuts in documentation.