Atkin-Lehner |
2+ 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
127296bj |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-3.157204450776E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-271020,-275740112] |
[a1,a2,a3,a4,a6] |
j |
-23040414103250/330419182041 |
j-invariant |
L |
4.279512862545 |
L(r)(E,1)/r! |
Ω |
0.089156551436586 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296dl2 15912p2 42432x2 |
Quadratic twists by: -4 8 -3 |