Atkin-Lehner |
2+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
74048a |
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] |
Generators |
[-8:1:1] |
Generators of the group modulo torsion |
j |
15851081728/195533 |
j-invariant |
L |
2.2221100802119 |
L(r)(E,1)/r! |
Ω |
1.2560702655806 |
Real period |
R |
1.7690969544867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74048r1 1157c1 |
Quadratic twists by: -4 8 |