Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296df |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
121337585860608 = 218 · 36 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 3- 4 2 -6 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6749388,6749082000] |
[a1,a2,a3,a4,a6] |
j |
177930109857804849/634933 |
j-invariant |
L |
4.7153282933342 |
L(r)(E,1)/r! |
Ω |
0.39294407618895 |
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 |
127296bf2 31824ba2 14144bb2 |
Quadratic twists by: -4 8 -3 |