I feel funny discussing Christian theology, but immaculate conception has nothing to do with being “born without a father” that is a sepperate belief.
Immaculate Conception refers to the Conception of MARY not yoshke. (Though many Christians misunderstand this too)
No reason to do to much gogling. Wikipedia imagines well.
OK according to Wikepedia Immaculate Conception refers to the Conception of MARY and Virgin Birth refers to yoshke. I am sorry for using the wrong term for JC