Atkin-Lehner |
2- 3- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
65136t |
Isogeny class |
Conductor |
65136 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
91584 |
Modular degree for the optimal curve |
Δ |
8411673657168 = 24 · 318 · 23 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -4 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7013,-180198] |
[a1,a2,a3,a4,a6] |
j |
2384389341184000/525729603573 |
j-invariant |
L |
2.3845399038851 |
L(r)(E,1)/r! |
Ω |
0.52989775654702 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16284a1 |
Quadratic twists by: -4 |