Difficult. The manufacturers of car batteries have become extremely coy about the performance parameters of their products, probably because they don't want to be forced to meet them by a court.
However, I would suspect that it would be in the vicinity of 30-40 ampere hours. That means that it can deliver 30-40 amps for one hour, so at a voltage of 13.2 volts, that means 396 - 528 watt-hours, ignoring the fact that the voltage decreases as it discharges.
The "Cold cranking" current is a red herring...that is just the current it can supply for a short time, limited by the internal resistance of the battery.
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Battery manufactures have gone to a Reserve Capacity rating which is more realistic than using the Amp-Hour rating. Reserve capacity is the number of minutes that a battery can maintain a useful voltage under a 25 ampere discharge at a temperature of 25 degrees C. To maintain a high RC number a battery requires higher quality cell materials. The RC rating of a BXT-65-650 is 130.
To convert RCR (Reserve Capacity Rating) to Ampere-Hours at the 25 amp rate, multiply RCR by .4167.
No. Amp-hours is the measure of how long the battery can keep doing the job before it's exhausted. As long as the voltage of the battery remains the same, the motor doesn't know that anything has changed.
The rating of 450 amp-hours in a battery bank means that the battery can supply 450 amperes for one hour, so to speak. In reality, these ratings are normalized to an eight hour rate, which means that this battery can supply about 56 amperes for eight hours. Actual run time at 450 amperes would be somewhat less than an hour.
V is the batteries rated voltage. Ah is the amp-hour of the battery. This is a rating of how many amps it can supply for a given period of time. For example a 600 Ah battery with a 100 A load means that the battery should last 6 hours.
6Ah will provide 500 milliamphours for 12 hours.
The 50 amp charging circuit will never be able achieve a full charge for the 70 amp hour battery, thus in effect turning the 70 amp hour battery into a 50 amp hour battery.