Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462ct |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2086656 |
Modular degree for the optimal curve |
Δ |
3.9166749838291E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 11- 13+ -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8616497,9690662063] |
[a1,a2,a3,a4,a6] |
j |
703971110401/3897234 |
j-invariant |
L |
2.7160666864299 |
L(r)(E,1)/r! |
Ω |
0.16975416790198 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154n1 33462v1 |
Quadratic twists by: -3 13 |