Atkin-Lehner |
2- 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830ck |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-1529544060 = -1 · 22 · 37 · 5 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,238,-1299] |
[a1,a2,a3,a4,a6] |
j |
2053225511/2098140 |
j-invariant |
L |
3.274176213449 |
L(r)(E,1)/r! |
Ω |
0.81854405336226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610d1 84150bp1 |
Quadratic twists by: -3 5 |