Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
33880m |
Isogeny class |
Conductor |
33880 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-184459761303910400 = -1 · 211 · 52 · 75 · 118 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11- 1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,80304,18742304] |
[a1,a2,a3,a4,a6] |
j |
130454302/420175 |
j-invariant |
L |
2.2598080664142 |
L(r)(E,1)/r! |
Ω |
0.22598080664198 |
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 |
67760e1 33880a1 |
Quadratic twists by: -4 -11 |