Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296co |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
232623537389568 = 220 · 310 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 2 2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-161580,24988624] |
[a1,a2,a3,a4,a6] |
j |
2441288319625/1217268 |
j-invariant |
L |
2.1998590440445 |
L(r)(E,1)/r! |
Ω |
0.54996469560398 |
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 |
127296v2 31824s2 42432cl2 |
Quadratic twists by: -4 8 -3 |