Atkin-Lehner |
7- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
45227d |
Isogeny class |
Conductor |
45227 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-260724654827 = -1 · 710 · 13 · 71 |
Discriminant |
Eigenvalues |
0 1 2 7- 0 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1013,21543] |
[a1,a2,a3,a4,a6] |
j |
976191488/2216123 |
j-invariant |
L |
2.7322237684805 |
L(r)(E,1)/r! |
Ω |
0.68305594216566 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6461c1 |
Quadratic twists by: -7 |