Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600dc |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1737441177272320000 = -1 · 218 · 54 · 139 |
Discriminant |
Eigenvalues |
2- 2 5- -1 3 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,268992,-33829888] |
[a1,a2,a3,a4,a6] |
Generators |
[13854:417430:27] |
Generators of the group modulo torsion |
j |
174196775/140608 |
j-invariant |
L |
9.535935407615 |
L(r)(E,1)/r! |
Ω |
0.14712570369387 |
Real period |
R |
2.7006201634883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000526 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8450y2 67600bz2 5200bi2 |
Quadratic twists by: -4 5 13 |