Atkin-Lehner |
3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32487m |
Isogeny class |
Conductor |
32487 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
732334037312241 = 32 · 78 · 132 · 174 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-80802,-8750925] |
[a1,a2,a3,a4,a6] |
Generators |
[-5078823:-5712261:29791] |
Generators of the group modulo torsion |
j |
495909170514577/6224736609 |
j-invariant |
L |
4.6798146294103 |
L(r)(E,1)/r! |
Ω |
0.28338294524709 |
Real period |
R |
8.2570505880825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
97461l2 4641b2 |
Quadratic twists by: -3 -7 |