Atkin-Lehner |
2+ 7+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
97552c |
Isogeny class |
Conductor |
97552 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-2110244864 = -1 · 211 · 7 · 133 · 67 |
Discriminant |
Eigenvalues |
2+ -1 -1 7+ 0 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96,2272] |
[a1,a2,a3,a4,a6] |
Generators |
[12:52:1] |
Generators of the group modulo torsion |
j |
-48275138/1030393 |
j-invariant |
L |
2.9628307930248 |
L(r)(E,1)/r! |
Ω |
1.2327918500659 |
Real period |
R |
0.20027920047253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48776e1 |
Quadratic twists by: -4 |