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 |
78658291840401 = 34 · 76 · 134 · 172 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26657,-1622160] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:184:1] |
Generators of the group modulo torsion |
j |
17806161424897/668584449 |
j-invariant |
L |
5.4567007452141 |
L(r)(E,1)/r! |
Ω |
0.37449772672391 |
Real period |
R |
3.6426794849659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
97461m2 663b2 |
Quadratic twists by: -3 -7 |