Atkin-Lehner |
2- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19550ba |
Isogeny class |
Conductor |
19550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-549943533200 = -1 · 24 · 52 · 173 · 234 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -4 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-58228,-5413088] |
[a1,a2,a3,a4,a6] |
Generators |
[438:7072:1] |
Generators of the group modulo torsion |
j |
-873332836649578345/21997741328 |
j-invariant |
L |
8.5736326911194 |
L(r)(E,1)/r! |
Ω |
0.15366886921685 |
Real period |
R |
3.4870565907451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19550u1 |
Quadratic twists by: 5 |