Atkin-Lehner |
2- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33088bf |
Isogeny class |
Conductor |
33088 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-520165001047048192 = -1 · 236 · 115 · 47 |
Discriminant |
Eigenvalues |
2- 0 0 5 11- -1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57260,-35098416] |
[a1,a2,a3,a4,a6] |
j |
-79202305058625/1984272007168 |
j-invariant |
L |
2.5409320702188 |
L(r)(E,1)/r! |
Ω |
0.12704660351074 |
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 |
33088a1 8272h1 |
Quadratic twists by: -4 8 |