Atkin-Lehner |
2- 3- 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
32370bm |
Isogeny class |
Conductor |
32370 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
442702640250 = 2 · 32 · 53 · 134 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 6 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2210,-24150] |
[a1,a2,a3,a4,a6] |
j |
1193748434929441/442702640250 |
j-invariant |
L |
8.6171118268378 |
L(r)(E,1)/r! |
Ω |
0.71809265223641 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97110p2 |
Quadratic twists by: -3 |