Atkin-Lehner |
3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
97461v |
Isogeny class |
Conductor |
97461 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
19958891316273 = 310 · 76 · 132 · 17 |
Discriminant |
Eigenvalues |
1 3- 0 7- 2 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14562,-637673] |
[a1,a2,a3,a4,a6] |
Generators |
[-994382:19363:12167] |
Generators of the group modulo torsion |
j |
3981876625/232713 |
j-invariant |
L |
8.2865125723987 |
L(r)(E,1)/r! |
Ω |
0.43618977817615 |
Real period |
R |
9.4987468607462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32487g1 1989a1 |
Quadratic twists by: -3 -7 |