Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170bv |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-1140955200 = -1 · 26 · 33 · 52 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,244,720] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:16:1] |
Generators of the group modulo torsion |
j |
668944031/475200 |
j-invariant |
L |
8.1757953417273 |
L(r)(E,1)/r! |
Ω |
0.97974253295314 |
Real period |
R |
0.69540338972898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
129360dq1 48510bh1 80850a1 16170bp1 |
Quadratic twists by: -4 -3 5 -7 |