Atkin-Lehner |
2- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8200f |
Isogeny class |
Conductor |
8200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
656000000 = 210 · 56 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 0 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-275,-1250] |
[a1,a2,a3,a4,a6] |
j |
143748/41 |
j-invariant |
L |
2.3956274074981 |
L(r)(E,1)/r! |
Ω |
1.1978137037491 |
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 |
16400b1 65600a1 73800v1 328a1 |
Quadratic twists by: -4 8 -3 5 |