Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728gh |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12386304 |
Modular degree for the optimal curve |
Δ |
-5.8207128933318E+22 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -1 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26283747,-53148608030] |
[a1,a2,a3,a4,a6] |
Generators |
[2269569463752786577945:642253909253685551537310:28223025427780847] |
Generators of the group modulo torsion |
j |
-2380771254001/69009408 |
j-invariant |
L |
4.6317667572532 |
L(r)(E,1)/r! |
Ω |
0.033281731781441 |
Real period |
R |
34.79211048624 |
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 |
11466bg1 30576df1 91728dm1 |
Quadratic twists by: -4 -3 -7 |