Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040ge |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.3179165217344E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-847961,244300839] |
[a1,a2,a3,a4,a6] |
j |
139927692143296/27348890625 |
j-invariant |
L |
2.549928801484 |
L(r)(E,1)/r! |
Ω |
0.21249406681468 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47040eo2 23520j1 6720bp2 |
Quadratic twists by: -4 8 -7 |