Atkin-Lehner |
2+ 3+ 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
65550k |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
166656000 |
Modular degree for the optimal curve |
Δ |
-3.2591289495385E+28 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-53687065025,4787968592683125] |
[a1,a2,a3,a4,a6] |
Generators |
[131832605924348237775:10416695878743286422750:1111580505925469] |
Generators of the group modulo torsion |
j |
-1095248516670909925403006195052049/2085842527704615412039680 |
j-invariant |
L |
3.8820350550631 |
L(r)(E,1)/r! |
Ω |
0.031695378161956 |
Real period |
R |
30.619882776936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987225 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13110bh1 |
Quadratic twists by: 5 |