Atkin-Lehner |
2- 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8256bf |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
270532608 = 221 · 3 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-352257,80588193] |
[a1,a2,a3,a4,a6] |
j |
18440127492397057/1032 |
j-invariant |
L |
0.95170982236165 |
L(r)(E,1)/r! |
Ω |
0.95170982236165 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8256w3 2064n3 24768ce4 |
Quadratic twists by: -4 8 -3 |