Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19266v |
Isogeny class |
Conductor |
19266 |
Conductor |
∏ cp |
357 |
Product of Tamagawa factors cp |
deg |
137088 |
Modular degree for the optimal curve |
Δ |
-8970121179317376 = -1 · 27 · 317 · 134 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -2 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,25431,-4278951] |
[a1,a2,a3,a4,a6] |
Generators |
[924:27969:1] |
Generators of the group modulo torsion |
j |
63685351357823/314068876416 |
j-invariant |
L |
8.0892919219065 |
L(r)(E,1)/r! |
Ω |
0.20703833036151 |
Real period |
R |
0.10944389367021 |
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 |
57798k1 19266i1 |
Quadratic twists by: -3 13 |