Single line IF statements get complex after a couple. I'd break it out into multiple IF statements above like:
<?php
$pageName = "PORC_Member_Round_1_Ballot.php";
if ($rsBatchRecords->getColumnVal("sendto_second_round")) $pageName = "PORC_Member_Round_1_Ballot.php";
if ($rsBatchRecords->getColumnVal("ebird_expedited")) $pageName = "PORC_Member_ebird_Ballot.php";
?>
<a href="<?php echo($pageName); ?>_Ballot.php?record_number=<?php echo ($rsBatchRecords->getColumnVal("record_number")); ?>"><?php echo($rsBatchRecords->getColumnVal("record_number")); ?></a>