Atkin-Lehner |
2- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
88088bb |
Isogeny class |
Conductor |
88088 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
3993505431709201408 = 210 · 72 · 118 · 135 |
Discriminant |
Eigenvalues |
2- -3 0 7+ 11- 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1364275,605756734] |
[a1,a2,a3,a4,a6] |
Generators |
[-1210:22022:1] [363:-12584:1] |
Generators of the group modulo torsion |
j |
1279346062500/18193357 |
j-invariant |
L |
6.8202527709906 |
L(r)(E,1)/r! |
Ω |
0.24811208146999 |
Real period |
R |
0.45814326674063 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994747 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88088p1 |
Quadratic twists by: -11 |