Atkin-Lehner |
2- 3- 5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
33060p |
Isogeny class |
Conductor |
33060 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
3834960 = 24 · 3 · 5 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85,260] |
[a1,a2,a3,a4,a6] |
Generators |
[13:39:1] |
Generators of the group modulo torsion |
j |
4294967296/239685 |
j-invariant |
L |
7.9076412572016 |
L(r)(E,1)/r! |
Ω |
2.4461190687603 |
Real period |
R |
2.1551529953962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99180f1 |
Quadratic twists by: -3 |