Since the Office for National Statistics hasn't published all of April yet, it's difficult to finish off these stats, but I ran some numbers from their data just out of curiosity... Here is the data they hold on all UK deaths in the first four months of each year:
2016: 188,999
2017: 192,899
2018: 211,037
2019: 187,775
2020: 207,336
The data for 2020 only goes up to the 17th of April, so it is likely to actually be around 257,000 I would estimate. If we assume it is around 257,000, Coronavirus certainly seems to have taken more of a toll than regular seasonal flu.
No conspiracy theories attached to this, I just wanted to see proper figures rather than media hype.