Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296cd |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1344047104917504 = 222 · 38 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41196,2691920] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:2340:1] |
Generators of the group modulo torsion |
j |
40459583737/7033104 |
j-invariant |
L |
4.5602432336352 |
L(r)(E,1)/r! |
Ω |
0.45931269059173 |
Real period |
R |
2.4821017567221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997562089 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127296g2 31824bj2 42432bk2 |
Quadratic twists by: -4 8 -3 |