Atkin-Lehner |
2- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
19136z |
Isogeny class |
Conductor |
19136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-3605528576 = -1 · 219 · 13 · 232 |
Discriminant |
Eigenvalues |
2- -1 -3 -3 2 13- -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-897,11041] |
[a1,a2,a3,a4,a6] |
Generators |
[16:23:1] [21:32:1] |
Generators of the group modulo torsion |
j |
-304821217/13754 |
j-invariant |
L |
4.9923809118067 |
L(r)(E,1)/r! |
Ω |
1.3900145262342 |
Real period |
R |
0.44895042619927 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19136k1 4784d1 |
Quadratic twists by: -4 8 |