Atkin-Lehner |
2- 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650dm |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
-8.5202401381322E+31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10992410770,-21226465497603] |
[a1,a2,a3,a4,a6] |
j |
12895999413139823113663940591/7480046211803339421744000 |
j-invariant |
L |
5.7345293304812 |
L(r)(E,1)/r! |
Ω |
0.01137803441892 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32550f2 19530bg2 |
Quadratic twists by: -3 5 |