Atkin-Lehner |
2+ 11- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
78166f |
Isogeny class |
Conductor |
78166 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3249849366515884 = -1 · 22 · 116 · 176 · 19 |
Discriminant |
Eigenvalues |
2+ 2 2 0 11- -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,36661,487865] |
[a1,a2,a3,a4,a6] |
j |
3075827761007/1834455244 |
j-invariant |
L |
3.2824763428382 |
L(r)(E,1)/r! |
Ω |
0.27353969617685 |
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 |
646b2 |
Quadratic twists by: -11 |