Atkin-Lehner |
5+ 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
60775l |
Isogeny class |
Conductor |
60775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
1375155925 = 52 · 114 · 13 · 172 |
Discriminant |
Eigenvalues |
-2 1 5+ -4 11- 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-528,4144] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:93:1] |
Generators of the group modulo torsion |
j |
652390666240/55006237 |
j-invariant |
L |
2.2145479672313 |
L(r)(E,1)/r! |
Ω |
1.4841558928399 |
Real period |
R |
0.18651578127985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60775s1 |
Quadratic twists by: 5 |