Atkin-Lehner |
2- 3- 11- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31746bn |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-390751323534 = -1 · 2 · 36 · 11 · 13 · 374 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11- 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1241,25031] |
[a1,a2,a3,a4,a6] |
j |
211357266837263/390751323534 |
j-invariant |
L |
7.8381565948701 |
L(r)(E,1)/r! |
Ω |
0.65317971623944 |
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 |
95238n1 |
Quadratic twists by: -3 |