Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
31824bb |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
8.7664207432734E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2751915,-1698391334] |
[a1,a2,a3,a4,a6] |
j |
771864882375147625/29358565696512 |
j-invariant |
L |
0.46996626469577 |
L(r)(E,1)/r! |
Ω |
0.11749156617381 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3978i1 127296dk1 10608t1 |
Quadratic twists by: -4 8 -3 |