A/S has no bearing on the price. The shares authorized is not used in any fundamental of financial calculation to determine company value. Unlike the O/S shares outstanding. Which is use to determine various valuations, like.
Market Capital = Current Market Price * Number Of Shares Outstanding
Price to book P/B = Current Marker Price / (Total Common Equity / Total Common Shares Outstanding)
Earnings per share EPS = Total Earnings / Total Common Shares Outstanding