Atkin-Lehner |
2- 5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89570o |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-562038466769000 = -1 · 23 · 53 · 139 · 53 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 0 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8869,-1093639] |
[a1,a2,a3,a4,a6] |
j |
15983964359/116441000 |
j-invariant |
L |
3.0935724053591 |
L(r)(E,1)/r! |
Ω |
0.25779770869892 |
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 |
6890f1 |
Quadratic twists by: 13 |