Atkin-Lehner |
2+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
22576a |
Isogeny class |
Conductor |
22576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2051500264448 = 210 · 176 · 83 |
Discriminant |
Eigenvalues |
2+ -2 0 2 -2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3408,-34556] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:247:8] |
Generators of the group modulo torsion |
j |
4276120562500/2003418227 |
j-invariant |
L |
3.5362872422022 |
L(r)(E,1)/r! |
Ω |
0.6538807957674 |
Real period |
R |
5.4081527781405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11288b2 90304o2 |
Quadratic twists by: -4 8 |