ahtatw - be sure you can do high atatw by 1st foot (which do 1st revolution in ahtatw)...
alatw - just training, it hasn't got any common things with latw...
As stated by Leha, latw and alatw is two diffrent movements.
Just practise alatw and the kick up to alatw,thats the keypoint to find out when to start the movement.
Ahtatw is my trick so i should know,- This trick like ahmatw is all about confidence really and a small portion with timing.
Ahtatw can be done very high very low or in between. Thats just depends on how willing you are to go for it.
A litle hint is to know atatw the way Leha also stated.