Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792db |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-1213632 = -1 · 26 · 32 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 -1 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,27,9] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3:1] |
Generators of the group modulo torsion |
j |
32768000/18963 |
j-invariant |
L |
7.3300075277497 |
L(r)(E,1)/r! |
Ω |
1.6320934815723 |
Real period |
R |
1.1227922313416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57792b1 14448s1 |
Quadratic twists by: -4 8 |