Atkin-Lehner |
2+ 3- 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87768d |
Isogeny class |
Conductor |
87768 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-29115917766576 = -1 · 24 · 312 · 23 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 -2 7 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39702,-3055903] |
[a1,a2,a3,a4,a6] |
Generators |
[4756:327699:1] |
Generators of the group modulo torsion |
j |
-593353292007424/2496220659 |
j-invariant |
L |
8.9247344248826 |
L(r)(E,1)/r! |
Ω |
0.16906633167788 |
Real period |
R |
4.399030020519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29256f1 |
Quadratic twists by: -3 |