Atkin-Lehner |
2+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
19550i |
Isogeny class |
Conductor |
19550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-7820000000 = -1 · 28 · 57 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5+ 0 1 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1501,22648] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:206:1] |
Generators of the group modulo torsion |
j |
-23912763841/500480 |
j-invariant |
L |
4.5581185765827 |
L(r)(E,1)/r! |
Ω |
1.3156222232145 |
Real period |
R |
0.43307631326014 |
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 |
3910n1 |
Quadratic twists by: 5 |