Atkin-Lehner |
2- 3- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
6942m |
Isogeny class |
Conductor |
6942 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
771061824 = 26 · 32 · 132 · 892 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-269,-1071] |
[a1,a2,a3,a4,a6] |
j |
2153185532497/771061824 |
j-invariant |
L |
3.6415458900816 |
L(r)(E,1)/r! |
Ω |
1.2138486300272 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55536w2 20826i2 90246h2 |
Quadratic twists by: -4 -3 13 |