Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32472v |
Isogeny class |
Conductor |
32472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-21005032752 = -1 · 24 · 37 · 114 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6,6973] |
[a1,a2,a3,a4,a6] |
Generators |
[6:85:1] |
Generators of the group modulo torsion |
j |
2048/1800843 |
j-invariant |
L |
5.9258793078983 |
L(r)(E,1)/r! |
Ω |
0.96077853256719 |
Real period |
R |
3.0838945225308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64944q1 10824f1 |
Quadratic twists by: -4 -3 |