Atkin-Lehner |
2- 3- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13224h |
Isogeny class |
Conductor |
13224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-181406832 = -1 · 24 · 3 · 194 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 3 5 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-248,1557] |
[a1,a2,a3,a4,a6] |
Generators |
[18:57:1] |
Generators of the group modulo torsion |
j |
-105854368000/11337927 |
j-invariant |
L |
5.8659678909246 |
L(r)(E,1)/r! |
Ω |
1.7534930116773 |
Real period |
R |
0.418163050256 |
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 |
26448c1 105792a1 39672e1 |
Quadratic twists by: -4 8 -3 |