Atkin-Lehner |
2+ 11+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
128656a |
Isogeny class |
Conductor |
128656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14848 |
Modular degree for the optimal curve |
Δ |
2187152 = 24 · 11 · 172 · 43 |
Discriminant |
Eigenvalues |
2+ 0 -2 1 11+ 4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71,-219] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:1:1] |
Generators of the group modulo torsion |
j |
2473880832/136697 |
j-invariant |
L |
5.2510533114188 |
L(r)(E,1)/r! |
Ω |
1.650357379636 |
Real period |
R |
1.5908836861693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000091781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64328e1 |
Quadratic twists by: -4 |