Atkin-Lehner |
3+ 7+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
11571b |
Isogeny class |
Conductor |
11571 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
531401634729 = 36 · 74 · 192 · 292 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5009,-133954] |
[a1,a2,a3,a4,a6] |
j |
13898957473262737/531401634729 |
j-invariant |
L |
0.56883019456057 |
L(r)(E,1)/r! |
Ω |
0.56883019456057 |
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 |
34713c2 80997u2 |
Quadratic twists by: -3 -7 |