Atkin-Lehner |
2- 3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27846bj |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
111451690479402 = 2 · 39 · 73 · 134 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-256937216,1585280916105] |
[a1,a2,a3,a4,a6] |
j |
2573221814539797208162915513/152882977338 |
j-invariant |
L |
2.6907571321694 |
L(r)(E,1)/r! |
Ω |
0.22422976101411 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282c3 |
Quadratic twists by: -3 |