Atkin-Lehner |
3- 13- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
83421s |
Isogeny class |
Conductor |
83421 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1985148431487 = -1 · 312 · 132 · 23 · 312 |
Discriminant |
Eigenvalues |
1 3- 2 2 6 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-936,-68445] |
[a1,a2,a3,a4,a6] |
j |
-124475734657/2723111703 |
j-invariant |
L |
5.7337275907069 |
L(r)(E,1)/r! |
Ω |
0.35835797008726 |
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 |
27807j2 |
Quadratic twists by: -3 |