Atkin-Lehner |
2- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
74048r |
Isogeny class |
Conductor |
74048 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16320 |
Modular degree for the optimal curve |
Δ |
12514112 = 26 · 133 · 89 |
Discriminant |
Eigenvalues |
2- 2 -2 1 4 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-209,1223] |
[a1,a2,a3,a4,a6] |
j |
15851081728/195533 |
j-invariant |
L |
2.2577348836325 |
L(r)(E,1)/r! |
Ω |
2.2577349078801 |
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 |
74048a1 18512i1 |
Quadratic twists by: -4 8 |