Atkin-Lehner |
2- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
19520o |
Isogeny class |
Conductor |
19520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-15616000000000000 = -1 · 220 · 512 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,62452,249872] |
[a1,a2,a3,a4,a6] |
j |
102759703687719/59570312500 |
j-invariant |
L |
0.47165421000036 |
L(r)(E,1)/r! |
Ω |
0.23582710500018 |
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 |
19520a4 4880g4 97600bs3 |
Quadratic twists by: -4 8 5 |