Atkin-Lehner |
2+ 3- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
51336h |
Isogeny class |
Conductor |
51336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
1596754944 = 210 · 37 · 23 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 3 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-579,5006] |
[a1,a2,a3,a4,a6] |
Generators |
[7:36:1] |
Generators of the group modulo torsion |
j |
28756228/2139 |
j-invariant |
L |
5.9149920373769 |
L(r)(E,1)/r! |
Ω |
1.4703860812072 |
Real period |
R |
0.50284344643606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102672m1 17112k1 |
Quadratic twists by: -4 -3 |