Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6006bf |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
-6011810622751581648 = -1 · 24 · 320 · 73 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,114061,117041073] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:10663:1] |
Generators of the group modulo torsion |
j |
164109982300653435983/6011810622751581648 |
j-invariant |
L |
6.3451233385098 |
L(r)(E,1)/r! |
Ω |
0.18072641346116 |
Real period |
R |
0.29257498562753 |
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 |
48048bc3 18018k4 42042co3 66066x3 |
Quadratic twists by: -4 -3 -7 -11 |