Atkin-Lehner |
2- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87616bu |
Isogeny class |
Conductor |
87616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
532800 |
Modular degree for the optimal curve |
Δ |
-8317551346884928 = -1 · 26 · 379 |
Discriminant |
Eigenvalues |
2- 0 -4 0 0 4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,50653,0] |
[a1,a2,a3,a4,a6] |
Generators |
[1659554576117834479416894:-39444737013953626146467581:14846679577882157522616] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
4.90716505615 |
L(r)(E,1)/r! |
Ω |
0.24717578666715 |
Real period |
R |
39.705871830106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007528 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87616bu1 43808h2 87616bt1 |
Quadratic twists by: -4 8 37 |