Atkin-Lehner |
2+ 3+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6486d |
Isogeny class |
Conductor |
6486 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
20880146304 = 27 · 38 · 232 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 -2 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32046,2194740] |
[a1,a2,a3,a4,a6] |
Generators |
[97:55:1] |
Generators of the group modulo torsion |
j |
3639706567858095337/20880146304 |
j-invariant |
L |
1.8446841078327 |
L(r)(E,1)/r! |
Ω |
1.0776746300314 |
Real period |
R |
1.7117263935024 |
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 |
51888z2 19458k2 |
Quadratic twists by: -4 -3 |