Atkin-Lehner |
3- 11- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
37323m |
Isogeny class |
Conductor |
37323 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-958514991291 = -1 · 36 · 11 · 132 · 294 |
Discriminant |
Eigenvalues |
0 3- -3 2 11- 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1206,-44260] |
[a1,a2,a3,a4,a6] |
Generators |
[118:1319:1] |
Generators of the group modulo torsion |
j |
266095853568/1314835379 |
j-invariant |
L |
4.0798683784813 |
L(r)(E,1)/r! |
Ω |
0.44356468288035 |
Real period |
R |
1.1497388475532 |
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 |
4147a1 |
Quadratic twists by: -3 |