Atkin-Lehner |
3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32487n |
Isogeny class |
Conductor |
32487 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2534027810769 = 32 · 78 · 132 · 172 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-75804,8026479] |
[a1,a2,a3,a4,a6] |
Generators |
[141:312:1] |
Generators of the group modulo torsion |
j |
409460675852593/21538881 |
j-invariant |
L |
3.3892193769246 |
L(r)(E,1)/r! |
Ω |
0.76750946129525 |
Real period |
R |
2.2079332880177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
97461k2 4641a2 |
Quadratic twists by: -3 -7 |