Atkin-Lehner |
3- 13+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
64467k |
Isogeny class |
Conductor |
64467 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-13284155567709 = -1 · 311 · 13 · 193 · 292 |
Discriminant |
Eigenvalues |
1 3- 3 -1 -2 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46413,3864262] |
[a1,a2,a3,a4,a6] |
Generators |
[122:-142:1] |
Generators of the group modulo torsion |
j |
-15167722335283153/18222435621 |
j-invariant |
L |
8.2736133034117 |
L(r)(E,1)/r! |
Ω |
0.70569482921891 |
Real period |
R |
1.46550834741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998268 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21489a1 |
Quadratic twists by: -3 |