Atkin-Lehner |
11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51623c |
Isogeny class |
Conductor |
51623 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
127823658677 = 11 · 13 · 197 |
Discriminant |
Eigenvalues |
1 0 -2 0 11+ 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5231138,4606443171] |
[a1,a2,a3,a4,a6] |
j |
336504351255877377/2717 |
j-invariant |
L |
0.51556891986268 |
L(r)(E,1)/r! |
Ω |
0.51556892052707 |
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 |
2717a3 |
Quadratic twists by: -19 |