Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19350ba |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5841342021093750 = 2 · 37 · 58 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-188667,-31280009] |
[a1,a2,a3,a4,a6] |
Generators |
[-235:311:1] |
Generators of the group modulo torsion |
j |
65202655558249/512820150 |
j-invariant |
L |
3.180518670008 |
L(r)(E,1)/r! |
Ω |
0.22918248965036 |
Real period |
R |
0.86735429560418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6450bd3 3870y3 |
Quadratic twists by: -3 5 |