Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296be |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
34314928128 = 214 · 36 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 -2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-828,-2160] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:80:1] |
Generators of the group modulo torsion |
j |
5256144/2873 |
j-invariant |
L |
10.886500756028 |
L(r)(E,1)/r! |
Ω |
0.95048955575005 |
Real period |
R |
2.8633930838492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999885368 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296dg1 15912o1 14144l1 |
Quadratic twists by: -4 8 -3 |