Atkin-Lehner |
2+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16960f |
Isogeny class |
Conductor |
16960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-542720000 = -1 · 214 · 54 · 53 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 2 -5 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,175,625] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:8:1] [5:40:1] |
Generators of the group modulo torsion |
j |
35969456/33125 |
j-invariant |
L |
6.0239012937806 |
L(r)(E,1)/r! |
Ω |
1.0744878482358 |
Real period |
R |
0.35039375408426 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16960o1 1060a1 84800o1 |
Quadratic twists by: -4 8 5 |