Atkin-Lehner |
2+ 3- 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
16590h |
Isogeny class |
Conductor |
16590 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
13588404480 = 28 · 35 · 5 · 7 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-599,506] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:46:1] [-9:76:1] |
Generators of the group modulo torsion |
j |
23711636464489/13588404480 |
j-invariant |
L |
5.5597376647965 |
L(r)(E,1)/r! |
Ω |
1.0748044469825 |
Real period |
R |
1.0345579943227 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49770bw1 82950by1 116130u1 |
Quadratic twists by: -3 5 -7 |