Atkin-Lehner |
2- 5+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
33350n |
Isogeny class |
Conductor |
33350 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
55680 |
Modular degree for the optimal curve |
Δ |
1667500000 = 25 · 57 · 23 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 3 1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-25338,-1562969] |
[a1,a2,a3,a4,a6] |
j |
115138814303449/106720 |
j-invariant |
L |
3.7840459950421 |
L(r)(E,1)/r! |
Ω |
0.37840459950454 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6670a1 |
Quadratic twists by: 5 |