Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6006h |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2022564252893184 = 214 · 36 · 72 · 112 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-80061,8413245] |
[a1,a2,a3,a4,a6] |
Generators |
[-157:4219:1] |
Generators of the group modulo torsion |
j |
56753835752958457177/2022564252893184 |
j-invariant |
L |
2.2243425251256 |
L(r)(E,1)/r! |
Ω |
0.46243571051899 |
Real period |
R |
2.4050289310802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48048cb2 18018bk2 42042bp2 66066br2 |
Quadratic twists by: -4 -3 -7 -11 |