Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8550f |
Isogeny class |
Conductor |
8550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-142111260000000 = -1 · 28 · 39 · 57 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 6 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22167,-1388259] |
[a1,a2,a3,a4,a6] |
j |
-105756712489/12476160 |
j-invariant |
L |
1.5547646100551 |
L(r)(E,1)/r! |
Ω |
0.19434557625688 |
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 |
68400fi1 2850x1 1710r1 |
Quadratic twists by: -4 -3 5 |