Atkin-Lehner |
2- 3- 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
126672ce |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
961411635265536 = 214 · 33 · 78 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3475232,-2494741260] |
[a1,a2,a3,a4,a6] |
j |
1133222782005890083873/234719637516 |
j-invariant |
L |
5.3075591761845 |
L(r)(E,1)/r! |
Ω |
0.11057414731333 |
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 |
15834n4 |
Quadratic twists by: -4 |