Atkin-Lehner |
2- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19136v |
Isogeny class |
Conductor |
19136 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
-19136 = -1 · 26 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 1 1 -4 1 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5,7] |
[a1,a2,a3,a4,a6] |
Generators |
[6:17:1] |
Generators of the group modulo torsion |
j |
175616/299 |
j-invariant |
L |
5.4391759673125 |
L(r)(E,1)/r! |
Ω |
2.6431900917418 |
Real period |
R |
2.0578073383017 |
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 |
19136r1 9568f1 |
Quadratic twists by: -4 8 |