Atkin-Lehner |
2- 3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
33060i |
Isogeny class |
Conductor |
33060 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-12562800 = -1 · 24 · 3 · 52 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 5 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-66,-291] |
[a1,a2,a3,a4,a6] |
j |
-2017433344/785175 |
j-invariant |
L |
3.2824970211935 |
L(r)(E,1)/r! |
Ω |
0.82062425529918 |
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 |
99180v1 |
Quadratic twists by: -3 |