Atkin-Lehner |
3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
33489g |
Isogeny class |
Conductor |
33489 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6148800 |
Modular degree for the optimal curve |
Δ |
-3.7909967031703E+23 |
Discriminant |
Eigenvalues |
-1 3- -3 2 -2 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-189514949,1004668285142] |
[a1,a2,a3,a4,a6] |
j |
-1447532257/729 |
j-invariant |
L |
0.18782284371902 |
L(r)(E,1)/r! |
Ω |
0.093911421855737 |
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 |
11163a1 33489e1 |
Quadratic twists by: -3 61 |