Atkin-Lehner |
2+ 5+ 31+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
128650a |
Isogeny class |
Conductor |
128650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1334743750000 = 24 · 58 · 31 · 832 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 4 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-65917,-6497259] |
[a1,a2,a3,a4,a6] |
Generators |
[1214:40643:1] |
Generators of the group modulo torsion |
j |
2027214449096481/85423600 |
j-invariant |
L |
5.8567382603887 |
L(r)(E,1)/r! |
Ω |
0.29795521113845 |
Real period |
R |
4.9141096282145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999540018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25730a2 |
Quadratic twists by: 5 |