Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126150bc |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
752823265640625000 = 23 · 34 · 59 · 296 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-112137276,-457069236302] |
[a1,a2,a3,a4,a6] |
j |
16778985534208729/81000 |
j-invariant |
L |
3.3403692591907 |
L(r)(E,1)/r! |
Ω |
0.04639402527227 |
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 |
25230p7 150c7 |
Quadratic twists by: 5 29 |