Atkin-Lehner |
2+ 11- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
78166b |
Isogeny class |
Conductor |
78166 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7023357127622 = 2 · 116 · 172 · 193 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 11- -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8852726,10137526650] |
[a1,a2,a3,a4,a6] |
j |
43311038625059640625/3964502 |
j-invariant |
L |
0.836412955738 |
L(r)(E,1)/r! |
Ω |
0.41820647957106 |
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 |
646e4 |
Quadratic twists by: -11 |