Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200go |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-97140736000 = -1 · 217 · 53 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11+ -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,340,14800] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:112:1] |
Generators of the group modulo torsion |
j |
265302/5929 |
j-invariant |
L |
4.9440380724065 |
L(r)(E,1)/r! |
Ω |
0.79861227225017 |
Real period |
R |
0.77384831803663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999256738 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200dm2 30800r2 123200hj2 |
Quadratic twists by: -4 8 5 |