Atkin-Lehner |
2- 3- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87984bk |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
144683105321484288 = 220 · 37 · 134 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-565995,162870554] |
[a1,a2,a3,a4,a6] |
j |
6715432988979625/48454079232 |
j-invariant |
L |
2.6237571645216 |
L(r)(E,1)/r! |
Ω |
0.32796964776201 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10998p2 29328l2 |
Quadratic twists by: -4 -3 |