Atkin-Lehner |
2- 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
128160bi |
Isogeny class |
Conductor |
128160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
2595240000 = 26 · 36 · 54 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-417,-2176] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:20:1] [-7:20:1] |
Generators of the group modulo torsion |
j |
171879616/55625 |
j-invariant |
L |
11.473094564566 |
L(r)(E,1)/r! |
Ω |
1.0836559170462 |
Real period |
R |
2.6468490555806 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000186 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128160bg1 14240f1 |
Quadratic twists by: -4 -3 |