Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17784p |
Isogeny class |
Conductor |
17784 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-17522659425024 = -1 · 28 · 310 · 132 · 193 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 5 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51276,-4473628] |
[a1,a2,a3,a4,a6] |
j |
-79891143083008/93892851 |
j-invariant |
L |
3.8069017124591 |
L(r)(E,1)/r! |
Ω |
0.15862090468579 |
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 |
35568i1 5928b1 |
Quadratic twists by: -4 -3 |