Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4056m |
Isogeny class |
Conductor |
4056 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1270503860880384 = -1 · 210 · 32 · 1310 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,22928,1067260] |
[a1,a2,a3,a4,a6] |
j |
269676572/257049 |
j-invariant |
L |
1.2702636914297 |
L(r)(E,1)/r! |
Ω |
0.31756592285743 |
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 |
8112m4 32448bm3 12168f4 101400bk3 |
Quadratic twists by: -4 8 -3 5 |