Hello Roger,
When you posted you did not indicate your need was for a storage site, I assumed you were looking for a means of keeping your battery live whilst on holiday without an EHU.
With the new found information, then a smaller panel may well suit your needs.
Just as a postage stamp calculation, assuming teh batteries natural discharge rate and a the alarm panel uses 50mA of power continuously, then that is the equivalent of 1.2Ah per day. Bearing in mind that Solar panels only give their rated output when they directly face the sun and at other times their out put will be substantially less, so assuming a fixed position for the panel its effective power delivery is will be restricted to about 30% of the daylight hours.
In the depth of winter we only have 6 hours of day light so the panels needs to be able to deliver 1.2Ah of power in roughly 2 hours to be able to keep your battery fully recharged over winter
That equates to a rated capacity for the panel of 12W.
But other factors need to be considered such as, the sun in winter is less strong than in summer, During autumn and winter the panel may be obscured by leaves and snow, and of course all year round there will be dust and other debris which whilst not thick will reduce the effectiveness of a panel.
For more or less guaranteed security of supply you may need to consider an 18 to 24W panel.