Timeline for The numerical values of the $L$-function of a weight-5 modular form
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 4, 2020 at 9:39 | comment | added | François Brunault | In Pari/GP you can compute the twist of a newform using the command mftwist(f,D). Then you can compute the L-function, it's built-in in Pari/GP. | |
| Dec 4, 2020 at 6:48 | comment | added | Wenzhe | Sorry, I think I understand where is the problem. I should include more coefficients of 432.5.e.a in my computation. | |
| Dec 4, 2020 at 3:57 | comment | added | Wenzhe | In Sage, I tried "L = Dokchitser(conductor=432, gammaV=[0,1], weight=5, eps=1,init='1', prec=200)". But the value of L at $s=5/2$ is 2.530840607. However the value of the $L$-function of 432.5.e.a at $s=5/2$ is 1.264584993. Is there something that I have not understood? 432 is the level of this modular form, is the conductor the same as the level? | |
| Dec 4, 2020 at 1:40 | comment | added | Jeremy Rouse | The LMFDB lists the twist of $f$ by $\chi_{3}$ as the weight 5 modular form with label 432.5.e.a and the $L$-function for it is here. So the weight should be 5, the conductor is 432, and the sign is 1. | |
| Dec 4, 2020 at 0:31 | history | asked | Wenzhe | CC BY-SA 4.0 |