Rielle Hunter and John Edwards split

Rielle Hunter, left, is shown in an Aug. 6, 2009 file photo; former U.S. senator and presidential candidate John Edwards is seen at right in May 2012.
AP Photo/Jim R. Bounds, Gerry Broome
Gerry Broome,AP Photo/Jim R. Bounds

(CBS News) Rielle Hunter says she and John Edwards are no longer in a relationship.

"We are a family, but as of the end of last week, John Edwards and I are no longer a couple," Hunter said on ABC's "Good Morning America" on Tuesday, the same day her tell-all book was released.

Hunter is the mother of Edwards' 4-year-old daughter Frances Quinn Hunter. Last month, a trial over charges of campaign finance corruption related to the affair ended in a hung jury on most of the felony counts. Federal prosecutors then dropped the remaining charges against Edwards.

The end of Hunter's controversial relationship with Edwards coincides with the release of her tell-all book, "What Really Happened: John Edwards, Our Daughter and Me."

Hunter, whose relationship with Edwards began when his wife was battling breast cancer, has said she wanted to end perceptions that she was a home-wrecker with this book.

Of their split, Hunter said Tuesday, "It's because I'm no longer interested in hiding." When asked if she still loved Edwards, Hunter told ABC, "I do."