Atkin-Lehner |
2+ 3- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832m |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
2.7228820990743E+27 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-362970497,-884173321377] |
[a1,a2,a3,a4,a6] |
j |
80697069006518105560750468/41547883591831538692683 |
j-invariant |
L |
3.291037087661 |
L(r)(E,1)/r! |
Ω |
0.036567092580171 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128832be3 16104g4 |
Quadratic twists by: -4 8 |