Atkin-Lehner |
2- 3+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8496j |
Isogeny class |
Conductor |
8496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6159532032 = 216 · 33 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 4 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4155,103018] |
[a1,a2,a3,a4,a6] |
j |
71732023875/55696 |
j-invariant |
L |
2.6629213517987 |
L(r)(E,1)/r! |
Ω |
1.3314606758994 |
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 |
1062g2 33984bd2 8496k2 |
Quadratic twists by: -4 8 -3 |