Atkin-Lehner |
2+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
16856b |
Isogeny class |
Conductor |
16856 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
170545872784 = 24 · 78 · 432 |
Discriminant |
Eigenvalues |
2+ 1 -3 7+ -5 -6 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2172,32801] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:43:1] [16:49:1] |
Generators of the group modulo torsion |
j |
12291328/1849 |
j-invariant |
L |
6.7272321480989 |
L(r)(E,1)/r! |
Ω |
0.97553014142368 |
Real period |
R |
0.57466464151501 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33712a1 16856e1 |
Quadratic twists by: -4 -7 |