Atkin-Lehner |
2+ 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
19296i |
Isogeny class |
Conductor |
19296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-48614805504 = -1 · 212 · 311 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 -6 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2316,44192] |
[a1,a2,a3,a4,a6] |
Generators |
[58:324:1] |
Generators of the group modulo torsion |
j |
-460099648/16281 |
j-invariant |
L |
6.5293864492703 |
L(r)(E,1)/r! |
Ω |
1.1230854373882 |
Real period |
R |
0.36336207335074 |
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 |
19296q1 38592t1 6432n1 |
Quadratic twists by: -4 8 -3 |