Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6072i |
Isogeny class |
Conductor |
6072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
4663296 = 211 · 32 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 11- -5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,-144] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:6:1] |
Generators of the group modulo torsion |
j |
9653618/2277 |
j-invariant |
L |
4.795950951113 |
L(r)(E,1)/r! |
Ω |
1.7723779994787 |
Real period |
R |
1.3529706847308 |
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 |
12144a1 48576b1 18216h1 66792bl1 |
Quadratic twists by: -4 8 -3 -11 |