Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
44616b |
Isogeny class |
Conductor |
44616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
247652401249034496 = 28 · 34 · 114 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-798412,273812980] |
[a1,a2,a3,a4,a6] |
Generators |
[-1707350:-296356104:15625] |
Generators of the group modulo torsion |
j |
45551779131472/200420649 |
j-invariant |
L |
5.6600649969762 |
L(r)(E,1)/r! |
Ω |
0.31351919846692 |
Real period |
R |
9.0266641160362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999939 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89232t2 3432g2 |
Quadratic twists by: -4 13 |