Atkin-Lehner |
2- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19136q |
Isogeny class |
Conductor |
19136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
225345536 = 215 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 0 2 -2 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-524,-4560] |
[a1,a2,a3,a4,a6] |
j |
485587656/6877 |
j-invariant |
L |
1.9974187239317 |
L(r)(E,1)/r! |
Ω |
0.99870936196587 |
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 |
19136u2 9568b2 |
Quadratic twists by: -4 8 |