Atkin-Lehner |
2- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
89540g |
Isogeny class |
Conductor |
89540 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
194400 |
Modular degree for the optimal curve |
Δ |
574303227731200 = 28 · 52 · 116 · 373 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21941,477959] |
[a1,a2,a3,a4,a6] |
j |
2575826944/1266325 |
j-invariant |
L |
2.7547281531674 |
L(r)(E,1)/r! |
Ω |
0.45912135855832 |
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 |
740b1 |
Quadratic twists by: -11 |