Atkin-Lehner |
3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47685j |
Isogeny class |
Conductor |
47685 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
816480 |
Modular degree for the optimal curve |
Δ |
103917071351053125 = 321 · 55 · 11 · 172 |
Discriminant |
Eigenvalues |
0 3- 5+ 5 11+ 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-695991,-223180999] |
[a1,a2,a3,a4,a6] |
j |
129014155656627060736/359574641353125 |
j-invariant |
L |
3.4716876548564 |
L(r)(E,1)/r! |
Ω |
0.16531845976644 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47685i1 |
Quadratic twists by: 17 |