A judgment which adjudicates a person to be the father of a child and which was based upon a statement acknowledging paternity that was signed and filed before April 1, 1998, may, if no trial was conducted, be reopened under any of the following circumstances:
(1) At any time upon motion or petition for good cause shown.
(2) Upon a motion under s. 806.07.
(3) Within one year after entry of the judgment upon motion or petition.