Atkin-Lehner |
2- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
45968r |
Isogeny class |
Conductor |
45968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
1622292263248596992 = 212 · 1312 · 17 |
Discriminant |
Eigenvalues |
2- 0 -4 -2 6 13+ 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1981187,-1071586750] |
[a1,a2,a3,a4,a6] |
Generators |
[-306076225:-144804270:389017] |
Generators of the group modulo torsion |
j |
43499078731809/82055753 |
j-invariant |
L |
3.7468757851104 |
L(r)(E,1)/r! |
Ω |
0.12726746707984 |
Real period |
R |
7.3602387771893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2873b1 3536i1 |
Quadratic twists by: -4 13 |