Atkin-Lehner |
2- 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41280dl |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
66873600000000 = 214 · 35 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17265,773775] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:105:1] [45:-300:1] |
Generators of the group modulo torsion |
j |
34739908901584/4081640625 |
j-invariant |
L |
10.114869967324 |
L(r)(E,1)/r! |
Ω |
0.59810647941262 |
Real period |
R |
0.42278717567389 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41280v1 10320d1 123840ez1 |
Quadratic twists by: -4 8 -3 |