Atkin-Lehner |
2- 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5382j |
Isogeny class |
Conductor |
5382 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
75758550482862 = 2 · 39 · 13 · 236 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31415,2109665] |
[a1,a2,a3,a4,a6] |
j |
4703210486403625/103921194078 |
j-invariant |
L |
2.4468320914765 |
L(r)(E,1)/r! |
Ω |
0.61170802286913 |
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 |
43056bu2 1794f2 69966g2 123786bi2 |
Quadratic twists by: -4 -3 13 -23 |