Atkin-Lehner |
7- 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
45227n |
Isogeny class |
Conductor |
45227 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11280 |
Modular degree for the optimal curve |
Δ |
587951 = 72 · 132 · 71 |
Discriminant |
Eigenvalues |
1 0 3 7- 0 13- 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-548,-4803] |
[a1,a2,a3,a4,a6] |
j |
371804821353/11999 |
j-invariant |
L |
1.9733226879703 |
L(r)(E,1)/r! |
Ω |
0.986661344132 |
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 |
45227a1 |
Quadratic twists by: -7 |