Atkin-Lehner |
2- 29- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
32944h |
Isogeny class |
Conductor |
32944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-37424384 = -1 · 28 · 29 · 712 |
Discriminant |
Eigenvalues |
2- 1 3 2 1 -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-124,568] |
[a1,a2,a3,a4,a6] |
Generators |
[138:497:8] |
Generators of the group modulo torsion |
j |
-830321872/146189 |
j-invariant |
L |
8.7301305524512 |
L(r)(E,1)/r! |
Ω |
1.9750558633464 |
Real period |
R |
2.2100971204075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8236d1 |
Quadratic twists by: -4 |