Atkin-Lehner |
2- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
32864g |
Isogeny class |
Conductor |
32864 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
940800 |
Modular degree for the optimal curve |
Δ |
-584954624795600384 = -1 · 29 · 135 · 795 |
Discriminant |
Eigenvalues |
2- 0 3 -5 -5 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2924971,-1925793678] |
[a1,a2,a3,a4,a6] |
Generators |
[414709329970:-19121788404078:128787625] |
Generators of the group modulo torsion |
j |
-5405283099289026131976/1142489501553907 |
j-invariant |
L |
4.4879260449481 |
L(r)(E,1)/r! |
Ω |
0.057720975332956 |
Real period |
R |
15.550416530767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32864c1 65728bd1 |
Quadratic twists by: -4 8 |