Atkin-Lehner |
2- 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6138j |
Isogeny class |
Conductor |
6138 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17295339040848 = 24 · 39 · 116 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 11+ -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-72173,-7442171] |
[a1,a2,a3,a4,a6] |
j |
2112277884550443/878694256 |
j-invariant |
L |
4.6605498825288 |
L(r)(E,1)/r! |
Ω |
0.29128436765805 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49104bb2 6138b2 67518b2 |
Quadratic twists by: -4 -3 -11 |