Atkin-Lehner |
2+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
94864g |
Isogeny class |
Conductor |
94864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
133568512 = 211 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 11+ -3 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-128,20] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:20:1] [-4:22:1] |
Generators of the group modulo torsion |
j |
1750 |
j-invariant |
L |
12.866243721806 |
L(r)(E,1)/r! |
Ω |
1.5825882984192 |
Real period |
R |
1.0162342707567 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47432q1 94864a1 94864f1 |
Quadratic twists by: -4 -7 -11 |