Atkin-Lehner |
2- 11- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
78166m |
Isogeny class |
Conductor |
78166 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-533775141699272 = -1 · 23 · 116 · 172 · 194 |
Discriminant |
Eigenvalues |
2- 0 4 2 11- -6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10308,1184879] |
[a1,a2,a3,a4,a6] |
j |
-68367756969/301302152 |
j-invariant |
L |
5.4335869574744 |
L(r)(E,1)/r! |
Ω |
0.45279891409233 |
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 |
646a2 |
Quadratic twists by: -11 |