Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040cg |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-20096145093750000 = -1 · 24 · 3 · 59 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,66994,-1427325] |
[a1,a2,a3,a4,a6] |
Generators |
[3469:204853:1] |
Generators of the group modulo torsion |
j |
9695350016/5859375 |
j-invariant |
L |
3.3450094677793 |
L(r)(E,1)/r! |
Ω |
0.22349273856582 |
Real period |
R |
4.9889905286477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7260m2 116160jh2 87120gc2 29040cf2 |
Quadratic twists by: -4 8 -3 -11 |