Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
67626bk |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
1020 |
Product of Tamagawa factors cp |
deg |
363723840 |
Modular degree for the optimal curve |
Δ |
-2.8764009720035E+32 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 13- 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55769082755,-5134428261019645] |
[a1,a2,a3,a4,a6] |
Generators |
[31053267:173025205906:1] |
Generators of the group modulo torsion |
j |
-3772118414306118217515625/56562751486929272832 |
j-invariant |
L |
11.866774131766 |
L(r)(E,1)/r! |
Ω |
0.004907768928399 |
Real period |
R |
2.3705460578479 |
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 |
22542q1 67626ba1 |
Quadratic twists by: -3 17 |