Atkin-Lehner |
3- 5+ 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
126945j |
Isogeny class |
Conductor |
126945 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
55328730723118125 = 322 · 54 · 7 · 13 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-166163,-23444458] |
[a1,a2,a3,a4,a6] |
j |
695979915981978601/75896749963125 |
j-invariant |
L |
1.9050975189926 |
L(r)(E,1)/r! |
Ω |
0.23813716485464 |
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 |
42315g3 |
Quadratic twists by: -3 |