Atkin-Lehner |
2- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16960l |
Isogeny class |
Conductor |
16960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-86835200 = -1 · 216 · 52 · 53 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 0 -1 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,961] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:40:1] [5:16:1] |
Generators of the group modulo torsion |
j |
-7086244/1325 |
j-invariant |
L |
5.4563899490592 |
L(r)(E,1)/r! |
Ω |
1.8382356689451 |
Real period |
R |
0.37103444087984 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16960b1 4240a1 84800bw1 |
Quadratic twists by: -4 8 5 |