Atkin-Lehner |
2+ 3- 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6486k |
Isogeny class |
Conductor |
6486 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
56090928 = 24 · 3 · 232 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 -4 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-565504,-163729186] |
[a1,a2,a3,a4,a6] |
j |
19999984160254936178809/56090928 |
j-invariant |
L |
3.1337419509896 |
L(r)(E,1)/r! |
Ω |
0.17409677505498 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51888o2 19458p2 |
Quadratic twists by: -4 -3 |