Below is a general script which will embed your flash movie in a html page, theres several ways to do this but below will work just copy and paste the code on to your html page in the body area.Check the adobe website if you need other parameters or more information.
<object id="yourmovie.swf" width="550" height="450" classid="clsid:d27cdb6e-ae6d-11cf-96b8-444553540000"
codebase="http://download.macromedia.com/pub/shockwave/cabs/flash/swflash.cab#version=6,0,40,0" align="middle" bgcolor="#ffffff">
<param name="allowScriptAccess" value="sameDomain" />
<param name="quality" value="high" />
<param name="src" value="http://www.yourwebsite/yourmovie.swf" />
<param name="allowscriptaccess" value="sameDomain" />
<param name="pluginspage" value="http://www.macromedia.com/go/getflashplayer" />
<embed id="slots.swf" width="476" height="321" type="application/x-shockwave-flash"src="http://www.yourwebsite/yourmovie.swf"
allowScriptAccess="sameDomain" quality="high" allowscriptaccess="sameDomain"
pluginspage="http://www.macromedia.com/go/getflashplayer" align="middle" bgcolor="#ffffff" />
</object>
To use a link from java my option will be create a button/link thats open another window with the above on that html page