Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400bs |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
1682000000000 = 210 · 59 · 292 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -4 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3200,31000] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:275:1] |
Generators of the group modulo torsion |
j |
226492416/105125 |
j-invariant |
L |
3.9108066254937 |
L(r)(E,1)/r! |
Ω |
0.75216592173009 |
Real period |
R |
2.5996967640398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46400j1 11600p1 9280n1 |
Quadratic twists by: -4 8 5 |