Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
62496bm |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
4464839232 = 26 · 38 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31881,2191016] |
[a1,a2,a3,a4,a6] |
Generators |
[49:864:1] [100:54:1] |
Generators of the group modulo torsion |
j |
76808983160512/95697 |
j-invariant |
L |
8.7950612137577 |
L(r)(E,1)/r! |
Ω |
1.1659035108635 |
Real period |
R |
3.7717791960553 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62496bt1 124992ez1 20832e1 |
Quadratic twists by: -4 8 -3 |