Atkin-Lehner |
2+ 3- 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6486j |
Isogeny class |
Conductor |
6486 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
189306882 = 2 · 34 · 232 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-887,10064] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:51:1] [6:67:1] |
Generators of the group modulo torsion |
j |
77053177046377/189306882 |
j-invariant |
L |
3.8912341713249 |
L(r)(E,1)/r! |
Ω |
1.7986615968425 |
Real period |
R |
0.54085134443245 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51888n2 19458m2 |
Quadratic twists by: -4 -3 |