Atkin-Lehner |
2- 3- 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
52668n |
Isogeny class |
Conductor |
52668 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
36011961800659152 = 24 · 318 · 7 · 112 · 193 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-168096,24905981] |
[a1,a2,a3,a4,a6] |
Generators |
[-2782:51417:8] |
Generators of the group modulo torsion |
j |
45034810384580608/3087445284693 |
j-invariant |
L |
4.8404570350151 |
L(r)(E,1)/r! |
Ω |
0.35933186638017 |
Real period |
R |
6.7353573226585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17556b1 |
Quadratic twists by: -3 |