Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800jl |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-6537284334000 = -1 · 24 · 34 · 53 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4573,169658] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:510:1] |
Generators of the group modulo torsion |
j |
-131072/81 |
j-invariant |
L |
8.1186772555838 |
L(r)(E,1)/r! |
Ω |
0.69489618946737 |
Real period |
R |
2.9208237786359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700o1 58800gv1 58800gu1 |
Quadratic twists by: -4 5 -7 |