Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19266i |
Isogeny class |
Conductor |
19266 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
1782144 |
Modular degree for the optimal curve |
Δ |
-4.329706163942E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 2 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4297835,-9405153184] |
[a1,a2,a3,a4,a6] |
Generators |
[2914:165470:1] |
Generators of the group modulo torsion |
j |
63685351357823/314068876416 |
j-invariant |
L |
5.572342789466 |
L(r)(E,1)/r! |
Ω |
0.057422101238836 |
Real period |
R |
5.7083398708318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57798bn1 19266v1 |
Quadratic twists by: -3 13 |