Atkin-Lehner |
2+ 3- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
6408a |
Isogeny class |
Conductor |
6408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7587566773880832 = -1 · 211 · 310 · 894 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7341,-4183922] |
[a1,a2,a3,a4,a6] |
j |
29304337246/5082121521 |
j-invariant |
L |
3.5426871224149 |
L(r)(E,1)/r! |
Ω |
0.19681595124527 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12816a4 51264n3 2136a4 |
Quadratic twists by: -4 8 -3 |