Atkin-Lehner |
2- 7+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
55216n |
Isogeny class |
Conductor |
55216 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
28195363954688 = 213 · 72 · 174 · 292 |
Discriminant |
Eigenvalues |
2- 2 4 7+ -4 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-142856,20828528] |
[a1,a2,a3,a4,a6] |
j |
78715862981344009/6883633778 |
j-invariant |
L |
5.0815678170129 |
L(r)(E,1)/r! |
Ω |
0.63519597733795 |
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 |
6902b2 |
Quadratic twists by: -4 |