Atkin-Lehner |
2- 3- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
6408c |
Isogeny class |
Conductor |
6408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
11825989632 = 211 · 36 · 892 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 0 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-651,-3674] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:4:1] |
Generators of the group modulo torsion |
j |
20436626/7921 |
j-invariant |
L |
3.0768596391723 |
L(r)(E,1)/r! |
Ω |
0.97679952625826 |
Real period |
R |
3.1499397332414 |
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 |
12816b2 51264k2 712a2 |
Quadratic twists by: -4 8 -3 |