Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16320bf |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
7050240 = 210 · 34 · 5 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-125,483] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:27:1] |
Generators of the group modulo torsion |
j |
212629504/6885 |
j-invariant |
L |
6.4768745615293 |
L(r)(E,1)/r! |
Ω |
2.3467386742431 |
Real period |
R |
1.3799735421368 |
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 |
16320by1 2040a1 48960bw1 81600s1 |
Quadratic twists by: -4 8 -3 5 |