Atkin-Lehner |
2- 3+ 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
81168bk |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-20681928474624 = -1 · 224 · 36 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 3 4 -3 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5456,152512] |
[a1,a2,a3,a4,a6] |
j |
4384370502863/5049298944 |
j-invariant |
L |
3.6384771711603 |
L(r)(E,1)/r! |
Ω |
0.45480964634078 |
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 |
10146p1 |
Quadratic twists by: -4 |