Atkin-Lehner |
2- 3- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
128592j |
Isogeny class |
Conductor |
128592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3166449408 = 28 · 36 · 192 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2199,-39598] |
[a1,a2,a3,a4,a6] |
j |
6301325392/16967 |
j-invariant |
L |
0.69729021457671 |
L(r)(E,1)/r! |
Ω |
0.69729014995029 |
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 |
32148b2 14288f2 |
Quadratic twists by: -4 -3 |