Atkin-Lehner |
2- 7+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
127568t |
Isogeny class |
Conductor |
127568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
61265297408 = 214 · 72 · 17 · 672 |
Discriminant |
Eigenvalues |
2- 2 2 7+ -2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-992,2048] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:114:1] |
Generators of the group modulo torsion |
j |
26383748833/14957348 |
j-invariant |
L |
11.304868189272 |
L(r)(E,1)/r! |
Ω |
0.95340198365354 |
Real period |
R |
2.964349884246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999555404 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15946g1 |
Quadratic twists by: -4 |