Wordpress Page titles - PHP If else

I'm trying to alter my page titles inside my header.php document and need a bit more control over them.

Currently I have an if statement that refers to another bit of PHP that said IF the page is a show page, then display the show name before the title, else do not show anything - meaning it defaults back to the main title code. Heres that code and it works perfectly:

<?php
  if (is_page_template( 'page-show.php' ) ) {
      echo "$show_name -";
  } else {
      echo '';
  }
  ?>

  <?php wp_title( '|', true, 'right' ); ?> Leicester

So, to gain more control over the statement, I would like it to say: IF the page is a show page then display the show name and the normal code for the title, ELSE display just the title code (which I can make different from the show code). I have tried the following, but it doesn;t seem to work - Perhaps I can't include PHP inside echo? Im not sure where the problem is...

<?php
      if (is_page_template( 'page-show.php' ) ) {
          echo "$show_name - <?php wp_title( '|', true, 'right' ); ?> Leicester";
      } else {
          echo '<?php wp_title( '|', true, 'right' ); ?> Leicester';
      }
      ?>

Any ideas?