it seems that the British film director Ken Loach has got into hot water regarding alleged comments about holocaust denial.

I have not read in depth about this yet but his comments on first glance to me seem entirely reasonable. However, it also has raised in my mind some interesting questions regarding this topic . I would like to know your opinion on the following:

Should holocaust denial be a crime?

What constitutes "holocaust denial" ? In some cases just questioning or disputing the actual numbers of people killed in the concentration camps, means you are in danger of being an anti-semite. Is this okay in your opinion? Should all the facts about the holocaust be beyond question?

I am also interested on any other thoughts you have on the topic.