Atkin-Lehner |
2- 3- 7- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
99918bc |
Isogeny class |
Conductor |
99918 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
3010560 |
Modular degree for the optimal curve |
Δ |
1073680740959404032 = 214 · 310 · 72 · 135 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4270856,-3395761333] |
[a1,a2,a3,a4,a6] |
Generators |
[-1191:1189:1] |
Generators of the group modulo torsion |
j |
11817915334956198313273/1472813087735808 |
j-invariant |
L |
9.7264053148827 |
L(r)(E,1)/r! |
Ω |
0.10502049916652 |
Real period |
R |
3.3076553765458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999905868 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33306h1 |
Quadratic twists by: -3 |