Atkin-Lehner |
2- 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064de |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-713060352 = -1 · 212 · 32 · 23 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -6 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7,1287] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:24:1] [1:36:1] |
Generators of the group modulo torsion |
j |
8000/174087 |
j-invariant |
L |
13.585308009958 |
L(r)(E,1)/r! |
Ω |
1.2684413993885 |
Real period |
R |
2.6775592504553 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064bt2 64032j1 |
Quadratic twists by: -4 8 |