TESTL with identical arguments (like edx and edx) sets the flags based on the value of that argument itself (since x AND x is identical to x). So we can forget about the AND altogether here since it's discarded - all we need to concern ourselves with is the value in edx.
With TESTL, the zero flag ZF is set to 1 only if the value is zero. TESTL also forces the overflow flag OF to 0 and sets the sign flag SF only if the high bit is set.
JLE will then jump if either ZF is set to 1, or SF <> OF.
So, the jump will execute if either:
edx was zero; or
edx had its high bit set.
Hence it will jump for edx values of 0 or 0x80000000 - 0xffffffff.
Most likely this is a check to ensure that the number is a natural number 0x00000001 - 0x7fffffff, the jump would be to an error handling routine of some sort and a valid natural number would continue without the jump, something like:
loop_for_number:
call get_number_into_edx
testl %edx, %edx
jle loop_for_number
; carry on here knowing that edx >= 1
For a description of the various jumps and the flags they use, see here.