Atkin-Lehner |
3+ 11+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
12441c |
Isogeny class |
Conductor |
12441 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-300661647 = -1 · 3 · 112 · 134 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 2 0 11+ 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,163,-166] |
[a1,a2,a3,a4,a6] |
Generators |
[370:2108:125] |
Generators of the group modulo torsion |
j |
478762350767/300661647 |
j-invariant |
L |
2.9144904067399 |
L(r)(E,1)/r! |
Ω |
0.99313867642302 |
Real period |
R |
5.8692516481928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37323j1 |
Quadratic twists by: -3 |