Atkin-Lehner |
2- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
12496g |
Isogeny class |
Conductor |
12496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
8720050290688 = 223 · 114 · 71 |
Discriminant |
Eigenvalues |
2- 3 0 1 11+ -5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68875,-6955846] |
[a1,a2,a3,a4,a6] |
Generators |
[-1419117:96074:9261] |
Generators of the group modulo torsion |
j |
8821625150390625/2128918528 |
j-invariant |
L |
7.8937367152504 |
L(r)(E,1)/r! |
Ω |
0.29470699297519 |
Real period |
R |
6.6962584053062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1562c1 49984t1 112464be1 |
Quadratic twists by: -4 8 -3 |