Atkin-Lehner |
3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
31581o |
Isogeny class |
Conductor |
31581 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
418176 |
Modular degree for the optimal curve |
Δ |
3811211087808861 = 36 · 118 · 293 |
Discriminant |
Eigenvalues |
2 3- 2 1 11- 7 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-570999,166047241] |
[a1,a2,a3,a4,a6] |
j |
131753070592/24389 |
j-invariant |
L |
7.7131304517498 |
L(r)(E,1)/r! |
Ω |
0.42850724731963 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3509b1 31581j1 |
Quadratic twists by: -3 -11 |