The directions said the antenna could be laid on the dash or glued to the windshield.
Ah, that kinda thingie...
Frankly spoken, I'd forget about it... even in a car they barely work...
As far as I understand the technology, must an aerial (in real nothing then a conductive rod) have a specific length, matching the frequencies its supposed to operate on.
The short rubber/flex antennas for cars, meeting a compromize to that by having the specific length coiled up inside.
So if you want a hidden aerial, to prevent tempting and vandalism, I'd pick up such a rubberized thing from the nearest auto-store and hide it topside within the cowl/fairing, like above the headlight, and again install an additional good ground wire from its base to the frame to improve reception.
I have a 45cm/18" BOSCH AutoFlex antenna sitting on the rear top corner of the LHS pannier base since many years now.
It nicely shows the calibrated length of cable wound around its outside (the whole fibreglass rod is shrink wrapped)
It came with the little amp, tried it with and without the 12V lead connected, that amp thing does nothing truly noticeable at all (and thats an expensive brand antenna).
The reception is bearable, but not realy stunning, it simply misses a large steel plate as base wo work against; they however work brilliantly installed on a car, top notch.
Many years ago I'd modifyed a top box lid with an aluminum sheet inside, a think ground lead to the frame and an aerial on top of the lid; now that worked rather good,
but again only in the plains, cause once you vanish into the deep mountain valleys, or take a turn between the high risers in a city, the reception suffers again, unless you'vea
real strong local station tuned.
So I run my very own program from the iPod plugged into the changer interface of my Sony car stereo, about two days of music on random shuffle, with no comercial brakes or moderators talking BS ;-)
And in/near urban areas with high traffic density I can activate the TA on the Sony for any traffic warnings.