Atkin-Lehner |
2+ 3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
19776p |
Isogeny class |
Conductor |
19776 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-177984 = -1 · 26 · 33 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 -6 5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4,-22] |
[a1,a2,a3,a4,a6] |
j |
-140608/2781 |
j-invariant |
L |
4.1477445346424 |
L(r)(E,1)/r! |
Ω |
1.3825815115475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19776i1 9888a1 59328k1 |
Quadratic twists by: -4 8 -3 |