Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
16704cc |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-584506368 = -1 · 210 · 39 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -4 -1 -3 -5 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,108,1080] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:27:1] |
Generators of the group modulo torsion |
j |
6912/29 |
j-invariant |
L |
2.6323799139157 |
L(r)(E,1)/r! |
Ω |
1.1667789571411 |
Real period |
R |
1.1280542461812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16704n1 4176r1 16704bt1 |
Quadratic twists by: -4 8 -3 |