Atkin-Lehner |
2+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
49984k |
Isogeny class |
Conductor |
49984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
281509888 = 215 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ 1 2 1 11- 1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27457,1742047] |
[a1,a2,a3,a4,a6] |
Generators |
[762:11:8] |
Generators of the group modulo torsion |
j |
69863259742856/8591 |
j-invariant |
L |
9.0651690934476 |
L(r)(E,1)/r! |
Ω |
1.3469560685397 |
Real period |
R |
1.6825287225694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49984c1 24992b1 |
Quadratic twists by: -4 8 |