Atkin-Lehner |
3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
99099bg |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25660800 |
Modular degree for the optimal curve |
Δ |
6.9434950838699E+22 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 11- 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-664645581,6595434858964] |
[a1,a2,a3,a4,a6] |
j |
1717274406596164537/3672178237 |
j-invariant |
L |
0.18894364770877 |
L(r)(E,1)/r! |
Ω |
0.094471922364153 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11011f1 99099bu1 |
Quadratic twists by: -3 -11 |