The Wyvern is better to hatch in batches, rather than by itself. This is because the whole taming process takes 100 hours. Make sure to also stock up on wyvern milk, which is achievable from killing Alpha Wyvern, or by knocking out regular wyverns and then milking them.
I got a level 150 lightning egg and I was so excited to hatch the egg...that when I went to put the egg down I accidentally ate it instead. :( ps4 users: R2 ISN'T GONNA DROP THE EGG YOU'RE GONNA EAT IT LIKE ANY OTHER EGG. REMEMBER THIS. LOGIC BEFORE EXCITMENT.