Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296cw |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5.9495343979748E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 0 2 13- 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36243444,-83159205248] |
[a1,a2,a3,a4,a6] |
j |
1763293530283953913792/19924870320721197 |
j-invariant |
L |
2.9554928120808 |
L(r)(E,1)/r! |
Ω |
0.061572780433995 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296cx2 63648b1 42432cr2 |
Quadratic twists by: -4 8 -3 |