Atkin-Lehner |
3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
109989i |
Isogeny class |
Conductor |
109989 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
1278425433981069 = 310 · 118 · 101 |
Discriminant |
Eigenvalues |
0 3- 1 4 11- 1 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-241032,45514543] |
[a1,a2,a3,a4,a6] |
j |
1199124250624/989901 |
j-invariant |
L |
1.9213937671864 |
L(r)(E,1)/r! |
Ω |
0.48034849422099 |
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 |
36663a1 9999k1 |
Quadratic twists by: -3 -11 |