Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320bx |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-1202702400 = -1 · 26 · 32 · 52 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,204,1170] |
[a1,a2,a3,a4,a6] |
Generators |
[63:510:1] |
Generators of the group modulo torsion |
j |
14598344384/18792225 |
j-invariant |
L |
3.2713087568089 |
L(r)(E,1)/r! |
Ω |
1.0336681675942 |
Real period |
R |
0.79118929540574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16320cq1 8160r4 48960fo1 81600ie1 |
Quadratic twists by: -4 8 -3 5 |