Thank you for your help DownUnderFly. I contacted AC, who couldn't provide me an answer, though she did say it is most likely an L class as some Star Alliance carriers have been trying to standardize their booking class systems. They advised me to call LH, who kept on misinterpreting my flight numbers, and couldn't provide me any answer. Both carriers told me to purchase the fare first, and then they can looking up the fares in detail. In act of desperation, I contacted OZ reservations, who tried to help me look up the information, but she said that I would need to contact OZ club during their business hours to confirm.

I mean, given how it's LH L Class to AC, there are only a 3 booking classes that don't earn any miles, and L, which seems to be the most logical booking class translation, AC earns 100% miles. Similar story with CO. So I might just take the risk and book the airfare if no one gives me an answer. But if was the other way around, AC L Class to LH, I would probably be really concerned and press for an answer, as L on LH earns 0.

So I'll keep everyone posted. Thanks again for your help.