Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
20832bc |
Isogeny class |
Conductor |
20832 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
1681292682048 = 26 · 3 · 710 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 4 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5726,-152772] |
[a1,a2,a3,a4,a6] |
j |
324469300885696/26270198157 |
j-invariant |
L |
2.758210611011 |
L(r)(E,1)/r! |
Ω |
0.5516421222022 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20832m1 41664cc2 62496w1 |
Quadratic twists by: -4 8 -3 |