Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97216bu |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-47971786540711936 = -1 · 228 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 2 -2 7- -2 -4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,65791,8276129] |
[a1,a2,a3,a4,a6] |
Generators |
[61854:1535219:216] |
Generators of the group modulo torsion |
j |
1021147343/1555456 |
j-invariant |
L |
7.6447004837427 |
L(r)(E,1)/r! |
Ω |
0.24316280990692 |
Real period |
R |
7.8596522180794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014108 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97216bc1 24304q1 13888q1 |
Quadratic twists by: -4 8 -7 |