Atkin-Lehner |
5- 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60775s |
Isogeny class |
Conductor |
60775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
21486811328125 = 58 · 114 · 13 · 172 |
Discriminant |
Eigenvalues |
2 -1 5- 4 11- 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-13208,544443] |
[a1,a2,a3,a4,a6] |
j |
652390666240/55006237 |
j-invariant |
L |
5.3098775461223 |
L(r)(E,1)/r! |
Ω |
0.66373469311939 |
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 |
60775l1 |
Quadratic twists by: 5 |