Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27342bk |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.6763011874075E+21 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 2 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4956188,3763637399] |
[a1,a2,a3,a4,a6] |
j |
156982476866335849/19545027428808 |
j-invariant |
L |
6.9281893841818 |
L(r)(E,1)/r! |
Ω |
0.14433727883713 |
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 |
9114p2 3906r2 |
Quadratic twists by: -3 -7 |