Atkin-Lehner |
3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32487l |
Isogeny class |
Conductor |
32487 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
19026964621736253 = 316 · 76 · 13 · 172 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-988527,378154692] |
[a1,a2,a3,a4,a6] |
Generators |
[33:18573:1] |
Generators of the group modulo torsion |
j |
908031902324522977/161726530797 |
j-invariant |
L |
5.4567007452141 |
L(r)(E,1)/r! |
Ω |
0.37449772672391 |
Real period |
R |
0.91066987124149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97461m6 663b5 |
Quadratic twists by: -3 -7 |