Atkin-Lehner |
2- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128576ch |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
84345856 = 210 · 72 · 412 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 3 2 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-121,223] |
[a1,a2,a3,a4,a6] |
Generators |
[66:533:1] |
Generators of the group modulo torsion |
j |
3937024/1681 |
j-invariant |
L |
8.2894173579988 |
L(r)(E,1)/r! |
Ω |
1.7322139658509 |
Real period |
R |
2.3927232903863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999492742 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576t1 32144q1 128576cd1 |
Quadratic twists by: -4 8 -7 |