indranil,
another way you could try is to get the number of springs you have (hoping four?) under a heavy shelf, larger than the base of the TT you are using. Get the shelf completely horizontal, buy starting from the furthest edges of the shelf that will accommodate the leveling, moving the springs to suit under the shelf, creating the broadest sprung base. Now find where the TT with a record in it will sit on your shelf where that position will make the entire shelf and TT horizontal. Hopefully the center of gravity off the TT will align with the centre of gravity of the shelf in a vertical alignment.
another way you could try is to get the number of springs you have (hoping four?) under a heavy shelf, larger than the base of the TT you are using. Get the shelf completely horizontal, buy starting from the furthest edges of the shelf that will accommodate the leveling, moving the springs to suit under the shelf, creating the broadest sprung base. Now find where the TT with a record in it will sit on your shelf where that position will make the entire shelf and TT horizontal. Hopefully the center of gravity off the TT will align with the centre of gravity of the shelf in a vertical alignment.