Atkin-Lehner |
2+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
33088j |
Isogeny class |
Conductor |
33088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-415670746304 = -1 · 26 · 113 · 474 |
Discriminant |
Eigenvalues |
2+ 1 3 -2 11+ 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-209,-31111] |
[a1,a2,a3,a4,a6] |
j |
-15851081728/6494855411 |
j-invariant |
L |
1.6953971190968 |
L(r)(E,1)/r! |
Ω |
0.4238492797751 |
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 |
33088be1 517c1 |
Quadratic twists by: -4 8 |