Atkin-Lehner |
2- 3+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129456y |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-8776728432 = -1 · 24 · 39 · 29 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 -5 1 -1 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-189,-4617] |
[a1,a2,a3,a4,a6] |
Generators |
[94:899:1] |
Generators of the group modulo torsion |
j |
-2370816/27869 |
j-invariant |
L |
6.5307638902791 |
L(r)(E,1)/r! |
Ω |
0.55509418675255 |
Real period |
R |
2.9412863136323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000234568 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32364f1 129456s1 |
Quadratic twists by: -4 -3 |