Atkin-Lehner |
2- 7- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
56392i |
Isogeny class |
Conductor |
56392 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-353690624 = -1 · 210 · 73 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 1 2 7- 0 5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,48,-880] |
[a1,a2,a3,a4,a6] |
j |
11696828/345401 |
j-invariant |
L |
4.9317940592356 |
L(r)(E,1)/r! |
Ω |
0.82196567677509 |
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 |
112784b1 |
Quadratic twists by: -4 |