Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
72384bb |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
240893952 = 214 · 3 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1873,30575] |
[a1,a2,a3,a4,a6] |
Generators |
[106:1017:1] |
Generators of the group modulo torsion |
j |
44376082000/14703 |
j-invariant |
L |
7.9159159434355 |
L(r)(E,1)/r! |
Ω |
1.7232204877875 |
Real period |
R |
4.5936756196619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001749 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72384bt2 4524b2 |
Quadratic twists by: -4 8 |