Atkin-Lehner |
2- 3- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384bu |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
2643891488784 = 24 · 37 · 7 · 133 · 173 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -6 13+ 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4287,-74513] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:9:1] |
Generators of the group modulo torsion |
j |
747027606784/226671081 |
j-invariant |
L |
6.2600483135352 |
L(r)(E,1)/r! |
Ω |
0.60390834612147 |
Real period |
R |
2.5914728505079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999694242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37128g1 |
Quadratic twists by: -3 |