Atkin-Lehner |
2- 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
53592s |
Isogeny class |
Conductor |
53592 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
21822678739986432 = 211 · 3 · 73 · 114 · 294 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77824,4420780] |
[a1,a2,a3,a4,a6] |
j |
25453059166789634/10655604853509 |
j-invariant |
L |
2.0726416081212 |
L(r)(E,1)/r! |
Ω |
0.34544026802134 |
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 |
107184ba4 |
Quadratic twists by: -4 |