Atkin-Lehner |
2- 3- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45552p |
Isogeny class |
Conductor |
45552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-139935744 = -1 · 214 · 32 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 3- -1 2 6 13- -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,104,-364] |
[a1,a2,a3,a4,a6] |
j |
30080231/34164 |
j-invariant |
L |
3.9649601739633 |
L(r)(E,1)/r! |
Ω |
0.99124004350978 |
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 |
5694a1 |
Quadratic twists by: -4 |