Atkin-Lehner |
2+ 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12006i |
Isogeny class |
Conductor |
12006 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
452932106730322698 = 2 · 39 · 23 · 298 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-192231,2026539] |
[a1,a2,a3,a4,a6] |
Generators |
[-287:5931:1] |
Generators of the group modulo torsion |
j |
1077625178826324337/621306044897562 |
j-invariant |
L |
3.2032201998817 |
L(r)(E,1)/r! |
Ω |
0.25252956833434 |
Real period |
R |
6.342267602582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96048v3 4002o4 |
Quadratic twists by: -4 -3 |