Atkin-Lehner |
2- 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8256bf |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-580749373734912 = -1 · 221 · 34 · 434 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19457,1567137] |
[a1,a2,a3,a4,a6] |
j |
-3107661785857/2215383048 |
j-invariant |
L |
0.95170982236165 |
L(r)(E,1)/r! |
Ω |
0.47585491118082 |
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 |
8256w4 2064n4 24768ce3 |
Quadratic twists by: -4 8 -3 |