Ok I found solution myself.
function addMenuItem() {
add_menu_page( 'Challenge Administration', 'Challenge', 0, __FILE__, array( ChallengePlugin, 'displayAdminPage' ) );
add_submenu_page( __FILE__, 'Challenge edit', 'Challenge edit', 0, str_replace( 'challenge.php', 'challenge_edit.php', __FILE__ ), array( ChallengePlugin, 'displayEditPage' ) );
}
add_action('admin_menu', array('ChallengePlugin', 'addMenuItem'));
I had to add the subùenu item to declare the edit page…