Atkin-Lehner |
2+ 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57960b |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-1669943520000 = -1 · 28 · 33 · 54 · 75 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -3 -4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2172,48452] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-350:1] [-2:210:1] |
Generators of the group modulo torsion |
j |
163945479168/241600625 |
j-invariant |
L |
9.4868384056635 |
L(r)(E,1)/r! |
Ω |
0.57081747661256 |
Real period |
R |
0.20774675781564 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115920a1 57960bj1 |
Quadratic twists by: -4 -3 |