Atkin-Lehner |
2- 3- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
117648bk |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-322884058816512 = -1 · 213 · 310 · 192 · 432 |
Discriminant |
Eigenvalues |
2- 3- 4 2 -4 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20523,1424090] |
[a1,a2,a3,a4,a6] |
j |
-320153881321/108133218 |
j-invariant |
L |
4.096088013484 |
L(r)(E,1)/r! |
Ω |
0.51201087722002 |
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 |
14706r2 39216r2 |
Quadratic twists by: -4 -3 |