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 |
3666086062842348288 = 28 · 33 · 1112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7676908,-8189094508] |
[a1,a2,a3,a4,a6] |
j |
195453211868372997250000/14320648682977923 |
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 |
6864p4 27456m4 5148e4 42900b4 |
Quadratic twists by: -4 8 -3 5 |