Atkin-Lehner |
2- 3+ 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15834n |
Isogeny class |
Conductor |
15834 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
234719637516 = 22 · 33 · 78 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-217202,38871731] |
[a1,a2,a3,a4,a6] |
j |
1133222782005890083873/234719637516 |
j-invariant |
L |
3.1392339615386 |
L(r)(E,1)/r! |
Ω |
0.78480849038465 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126672ce4 47502l4 110838cj4 |
Quadratic twists by: -4 -3 -7 |