Atkin-Lehner |
2- 3- 29- 71- |
Signs for the Atkin-Lehner involutions |
Class |
37062n |
Isogeny class |
Conductor |
37062 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
356592181248 = 213 · 36 · 292 · 71 |
Discriminant |
Eigenvalues |
2- 3- 0 1 2 5 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2345,33513] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:236:1] |
Generators of the group modulo torsion |
j |
1955469687625/489152512 |
j-invariant |
L |
9.9283809117942 |
L(r)(E,1)/r! |
Ω |
0.89711227078125 |
Real period |
R |
0.4256555358085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4118a1 |
Quadratic twists by: -3 |