Atkin-Lehner |
2+ 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
32336a |
Isogeny class |
Conductor |
32336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
1142883584 = 28 · 43 · 473 |
Discriminant |
Eigenvalues |
2+ 0 1 2 2 -4 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-647,-6122] |
[a1,a2,a3,a4,a6] |
Generators |
[33:92:1] |
Generators of the group modulo torsion |
j |
117002889936/4464389 |
j-invariant |
L |
6.0141534570104 |
L(r)(E,1)/r! |
Ω |
0.94883931759339 |
Real period |
R |
3.1692159807757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16168e1 129344ba1 |
Quadratic twists by: -4 8 |