Atkin-Lehner |
3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
5325j |
Isogeny class |
Conductor |
5325 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
36393046875 = 38 · 57 · 71 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-47376,3965023] |
[a1,a2,a3,a4,a6] |
j |
752602538173681/2329155 |
j-invariant |
L |
2.0182463248631 |
L(r)(E,1)/r! |
Ω |
1.0091231624315 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
85200ch4 15975o3 1065b4 |
Quadratic twists by: -4 -3 5 |