Atkin-Lehner |
2+ 3- 7- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
119574n |
Isogeny class |
Conductor |
119574 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7762944 |
Modular degree for the optimal curve |
Δ |
1.1029715785556E+20 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -3 13+ -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10044063,12244236237] |
[a1,a2,a3,a4,a6] |
Generators |
[-772838769:44056025934:300763] |
Generators of the group modulo torsion |
j |
153717917580143894848753/151299256317640704 |
j-invariant |
L |
5.8866878897778 |
L(r)(E,1)/r! |
Ω |
0.18668532658742 |
Real period |
R |
15.766337932631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39858p1 |
Quadratic twists by: -3 |