Atkin-Lehner |
2+ 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384bd |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7090701633340416 = 210 · 310 · 74 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54939,2855270] |
[a1,a2,a3,a4,a6] |
j |
24566227961188/9498646521 |
j-invariant |
L |
3.0567703859159 |
L(r)(E,1)/r! |
Ω |
0.38209624257703 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37128y2 |
Quadratic twists by: -3 |