Atkin-Lehner |
2- 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16830ca |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
2431210283370000 = 24 · 37 · 54 · 113 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-471398,124669797] |
[a1,a2,a3,a4,a6] |
j |
15891267085572193561/3334993530000 |
j-invariant |
L |
3.5672217327682 |
L(r)(E,1)/r! |
Ω |
0.44590271659602 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5610i1 84150bb1 |
Quadratic twists by: -3 5 |