Atkin-Lehner |
31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35557d |
Isogeny class |
Conductor |
35557 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
32837636197 = 316 · 37 |
Discriminant |
Eigenvalues |
-2 3 -2 -1 5 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-961,-7448] |
[a1,a2,a3,a4,a6] |
Generators |
[930:467:27] |
Generators of the group modulo torsion |
j |
110592/37 |
j-invariant |
L |
4.7411016632626 |
L(r)(E,1)/r! |
Ω |
0.88056506067393 |
Real period |
R |
2.6920791404297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37a1 |
Quadratic twists by: -31 |