Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18810z |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4230728595002250000 = 24 · 318 · 56 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12028568,-16053857269] |
[a1,a2,a3,a4,a6] |
Generators |
[-1455237:951569:729] |
Generators of the group modulo torsion |
j |
264020672568758737421881/5803468580250000 |
j-invariant |
L |
6.1953874921576 |
L(r)(E,1)/r! |
Ω |
0.081067475383687 |
Real period |
R |
9.5528253822437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6270l2 94050bp2 |
Quadratic twists by: -3 5 |