Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720dn |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-453519616000000 = -1 · 214 · 56 · 116 |
Discriminant |
Eigenvalues |
2- -2 5- 2 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17585,-1368017] |
[a1,a2,a3,a4,a6] |
j |
-20720464/15625 |
j-invariant |
L |
2.408635214056 |
L(r)(E,1)/r! |
Ω |
0.20071960117422 |
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 |
38720bm4 9680t4 320f4 |
Quadratic twists by: -4 8 -11 |