Atkin-Lehner |
2+ 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
31878n |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
639869497344 = 212 · 36 · 7 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11+ 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2196,9936] |
[a1,a2,a3,a4,a6] |
j |
1606957644097/877735936 |
j-invariant |
L |
1.5871257188322 |
L(r)(E,1)/r! |
Ω |
0.7935628594164 |
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 |
3542q1 |
Quadratic twists by: -3 |