Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8190w |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24480 |
Modular degree for the optimal curve |
Δ |
-10651602124800 = -1 · 217 · 36 · 52 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 5 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1764,-159152] |
[a1,a2,a3,a4,a6] |
j |
-832972004929/14611251200 |
j-invariant |
L |
1.8604968763584 |
L(r)(E,1)/r! |
Ω |
0.3100828127264 |
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 |
65520dp1 910h1 40950dz1 57330bu1 |
Quadratic twists by: -4 -3 5 -7 |