Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400da |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
28422252000000000 = 211 · 39 · 59 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1288875,-563143750] |
[a1,a2,a3,a4,a6] |
j |
81202348906/9747 |
j-invariant |
L |
4.5341925737151 |
L(r)(E,1)/r! |
Ω |
0.141693517852 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34200cy2 22800t2 68400dc2 |
Quadratic twists by: -4 -3 5 |