Atkin-Lehner |
2+ 3+ 7- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
126882c |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
940032 |
Modular degree for the optimal curve |
Δ |
13493749221163008 = 218 · 39 · 72 · 19 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-62277,-2117035] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:1095:1] |
Generators of the group modulo torsion |
j |
1357123569775875/685553483776 |
j-invariant |
L |
5.7974720731451 |
L(r)(E,1)/r! |
Ω |
0.31872319917745 |
Real period |
R |
4.5474192791481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999836825 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126882z1 |
Quadratic twists by: -3 |