In the rectangular coordinate plane, the symmetric point of $( 4,4 )$ with respect to a line passing through $( 1,0 )$ is $( a , 0 )$. Accordingly, what is the product of the values that $a$ can take?\\
A) $-24$\\
B) $-16$\\
C) $-8$\\
D) $16$\\
E) $32$