Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
16800bx |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
45209390625000000 = 26 · 310 · 512 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-506658,138263688] |
[a1,a2,a3,a4,a6] |
j |
14383655824793536/45209390625 |
j-invariant |
L |
3.6085229386043 |
L(r)(E,1)/r! |
Ω |
0.36085229386043 |
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 |
16800e1 33600bb2 50400bq1 3360b1 |
Quadratic twists by: -4 8 -3 5 |