Atkin-Lehner |
2+ 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6138d |
Isogeny class |
Conductor |
6138 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
107202514716 = 22 · 310 · 114 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6156,-183708] |
[a1,a2,a3,a4,a6] |
j |
35394167353537/147054204 |
j-invariant |
L |
2.1564536870991 |
L(r)(E,1)/r! |
Ω |
0.53911342177478 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49104bu3 2046i4 67518bq3 |
Quadratic twists by: -4 -3 -11 |