Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
8256bq |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
135266304 = 220 · 3 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129,-129] |
[a1,a2,a3,a4,a6] |
j |
912673/516 |
j-invariant |
L |
1.5261754257318 |
L(r)(E,1)/r! |
Ω |
1.5261754257318 |
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 |
8256e1 2064f1 24768cn1 |
Quadratic twists by: -4 8 -3 |