Atkin-Lehner |
2+ 3- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
111384n |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44160 |
Modular degree for the optimal curve |
Δ |
-1154829312 = -1 · 210 · 36 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -5 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,1654] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:40:1] |
Generators of the group modulo torsion |
j |
-62500/1547 |
j-invariant |
L |
5.1811289002013 |
L(r)(E,1)/r! |
Ω |
1.2929613785757 |
Real period |
R |
2.0035899835481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999338824 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12376h1 |
Quadratic twists by: -3 |