Atkin-Lehner |
5+ 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60775h |
Isogeny class |
Conductor |
60775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
5431765625 = 56 · 112 · 132 · 17 |
Discriminant |
Eigenvalues |
-1 2 5+ 0 11- 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-963,-11344] |
[a1,a2,a3,a4,a6] |
j |
6321363049/347633 |
j-invariant |
L |
1.7199122872106 |
L(r)(E,1)/r! |
Ω |
0.85995613861889 |
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 |
2431c1 |
Quadratic twists by: 5 |