Atkin-Lehner |
2- 3+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
19776v |
Isogeny class |
Conductor |
19776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-2592079872 = -1 · 223 · 3 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 1 4 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,63,-2463] |
[a1,a2,a3,a4,a6] |
j |
103823/9888 |
j-invariant |
L |
2.7397026824265 |
L(r)(E,1)/r! |
Ω |
0.68492567060662 |
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 |
19776t1 4944j1 59328bh1 |
Quadratic twists by: -4 8 -3 |