Atkin-Lehner |
3- 5+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45045r |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
21556935791015625 = 36 · 512 · 7 · 113 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11- 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5816738,-5398212608] |
[a1,a2,a3,a4,a6] |
Generators |
[-1393:740:1] |
Generators of the group modulo torsion |
j |
29856206199428401347801/29570556640625 |
j-invariant |
L |
3.4320558628254 |
L(r)(E,1)/r! |
Ω |
0.097214200911907 |
Real period |
R |
2.9420048979821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5005b4 |
Quadratic twists by: -3 |