Atkin-Lehner |
2- 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
45540n |
Isogeny class |
Conductor |
45540 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
34502119068384000 = 28 · 318 · 53 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-113943,-11802242] |
[a1,a2,a3,a4,a6] |
Generators |
[294333830:7838931897:343000] |
Generators of the group modulo torsion |
j |
876635730354256/184875037875 |
j-invariant |
L |
5.8305621572522 |
L(r)(E,1)/r! |
Ω |
0.26372518566347 |
Real period |
R |
11.054238415969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15180n2 |
Quadratic twists by: -3 |