Atkin-Lehner |
2- 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
1914n |
Isogeny class |
Conductor |
1914 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
Δ |
-16591334871936 = -1 · 27 · 3 · 116 · 293 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11+ -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35547,-2589999] |
[a1,a2,a3,a4,a6] |
Generators |
[434:7769:1] |
Generators of the group modulo torsion |
j |
-4967448100211756593/16591334871936 |
j-invariant |
L |
4.1612129747714 |
L(r)(E,1)/r! |
Ω |
0.17381286064871 |
Real period |
R |
1.7100546938162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15312q2 61248n2 5742m2 47850c2 |
Quadratic twists by: -4 8 -3 5 |