Atkin-Lehner |
2+ 3+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
19776k |
Isogeny class |
Conductor |
19776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-130363392 = -1 · 212 · 3 · 1032 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -4 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-121,793] |
[a1,a2,a3,a4,a6] |
j |
-48228544/31827 |
j-invariant |
L |
1.7086759779906 |
L(r)(E,1)/r! |
Ω |
1.7086759779906 |
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 |
19776q2 9888f1 59328y2 |
Quadratic twists by: -4 8 -3 |