depends on what you mean by "conversion date"... there's the "effective date", which we know is any time in the days after March 8 and which is also the date your old shares no longer belong to you, and there's the "delivery date" of new shares, which is as much as 10 days after the effective date. There will very likely be a gap between that effective date, where your old shares go away, and the day the new ones show up in your account. (They may need to have a CUSIP assigned for your broker to show them in your portfolio, for instance, plus the DTC has to get involved to determine the conversion ratios for each and every account out there which granted releases.)
But remember - your shares will not be tradable immediately. Give the process time to breathe, there are a LOT of moving parts still winding down.