Atkin-Lehner |
2+ 3- 5+ 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
119970o |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1738383385477500 = 22 · 38 · 54 · 31 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-62235,-5613575] |
[a1,a2,a3,a4,a6] |
Generators |
[-139:650:1] |
Generators of the group modulo torsion |
j |
36568251127542961/2384613697500 |
j-invariant |
L |
2.8035614395343 |
L(r)(E,1)/r! |
Ω |
0.3035041363888 |
Real period |
R |
0.57733180601995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999993009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39990v4 |
Quadratic twists by: -3 |