Atkin-Lehner |
3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32487m |
Isogeny class |
Conductor |
32487 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-224048612199105057 = -1 · 3 · 77 · 13 · 178 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13917,-22783398] |
[a1,a2,a3,a4,a6] |
Generators |
[7641153355086:-148042164332708:15832158831] |
Generators of the group modulo torsion |
j |
-2533811507137/1904381781393 |
j-invariant |
L |
4.6798146294103 |
L(r)(E,1)/r! |
Ω |
0.14169147262355 |
Real period |
R |
16.514101176166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97461l3 4641b4 |
Quadratic twists by: -3 -7 |