Atkin-Lehner |
2- 3- 11- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
86526z |
Isogeny class |
Conductor |
86526 |
Conductor |
∏ cp |
588 |
Product of Tamagawa factors cp |
deg |
2596608 |
Modular degree for the optimal curve |
Δ |
1.5265731074943E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 1 11- 3 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2945057,-1851520143] |
[a1,a2,a3,a4,a6] |
Generators |
[-1005:10116:1] |
Generators of the group modulo torsion |
j |
3875048654272326251209/209406461933373056 |
j-invariant |
L |
12.644829665967 |
L(r)(E,1)/r! |
Ω |
0.11563387943616 |
Real period |
R |
0.18597328444637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9614a1 |
Quadratic twists by: -3 |