Atkin-Lehner |
2+ 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78320i |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1399499315346176000 = -1 · 211 · 53 · 11 · 896 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 11- 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-176323,-63653022] |
[a1,a2,a3,a4,a6] |
j |
-296019730624154418/683349275071375 |
j-invariant |
L |
0.870824850469 |
L(r)(E,1)/r! |
Ω |
0.10885311233496 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39160a2 |
Quadratic twists by: -4 |