Atkin-Lehner |
3+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
65559b |
Isogeny class |
Conductor |
65559 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
852800 |
Modular degree for the optimal curve |
Δ |
-165982640737738227 = -1 · 3 · 132 · 419 |
Discriminant |
Eigenvalues |
2 3+ 0 -2 -1 13- -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-114868,24711369] |
[a1,a2,a3,a4,a6] |
j |
-512000/507 |
j-invariant |
L |
1.175191954204 |
L(r)(E,1)/r! |
Ω |
0.29379798862896 |
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 |
65559e1 |
Quadratic twists by: 41 |