Atkin-Lehner |
2- 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
1716b |
Isogeny class |
Conductor |
1716 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
268625337552 = 24 · 36 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7676773,-8189396800] |
[a1,a2,a3,a4,a6] |
j |
3127086412733145284608000/16789083597 |
j-invariant |
L |
2.448886400355 |
L(r)(E,1)/r! |
Ω |
0.090699496309444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6864p3 27456m3 5148e3 42900b3 |
Quadratic twists by: -4 8 -3 5 |