Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
33880a |
Isogeny class |
Conductor |
33880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-104122726400 = -1 · 211 · 52 · 75 · 112 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 11- -1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,664,-13840] |
[a1,a2,a3,a4,a6] |
j |
130454302/420175 |
j-invariant |
L |
1.0834566753633 |
L(r)(E,1)/r! |
Ω |
0.54172833768275 |
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 |
67760i1 33880m1 |
Quadratic twists by: -4 -11 |