Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730cn |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
162544905476100 = 22 · 34 · 52 · 78 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-86780,-9827700] |
[a1,a2,a3,a4,a6] |
Generators |
[92404:3385513:64] |
Generators of the group modulo torsion |
j |
614320095655729/1381608900 |
j-invariant |
L |
14.279727724893 |
L(r)(E,1)/r! |
Ω |
0.27819755232057 |
Real period |
R |
6.4161814136558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006095 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12390o2 |
Quadratic twists by: -7 |