Battery Fat Boy Year of manufacture 2007 which battery

Hello at my Fat Boy the battery probably gave up the spirit over the winter.If then she wanted to bridge it with my passat battery that did not manage it either.The starter turned a few times slowly and then it hummed only. I assume the battery is deep discharge. now my questions.Can this discharge come from the alarm system. What values does the battery or battery have. As far as I know it has 12V 18AH however still want to know the start current or cold start current or it has nothing to say. Can someone miss me a cheap battery which also what is good at the Harlay dealer costs the 192 €. Are batteries of 1400ccm and 1600ccm same capacity. Motorcycle is Fat Boy 1600ccm many thanks in advance