Atkin-Lehner |
3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117975ch |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
17134025390625 = 3 · 59 · 113 · 133 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-189263,31675392] |
[a1,a2,a3,a4,a6] |
Generators |
[119763:921747:343] |
Generators of the group modulo torsion |
j |
288411730543/6591 |
j-invariant |
L |
5.8767228230316 |
L(r)(E,1)/r! |
Ω |
0.64094802001704 |
Real period |
R |
9.1687978021386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117975x1 117975cj1 |
Quadratic twists by: 5 -11 |