Atkin-Lehner |
3- 11- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
75933g |
Isogeny class |
Conductor |
75933 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
45600 |
Modular degree for the optimal curve |
Δ |
6150573 = 36 · 11 · 13 · 59 |
Discriminant |
Eigenvalues |
2 3- 4 1 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-543,-4869] |
[a1,a2,a3,a4,a6] |
j |
24288219136/8437 |
j-invariant |
L |
8.9012532461307 |
L(r)(E,1)/r! |
Ω |
0.98902814576395 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8437a1 |
Quadratic twists by: -3 |