Atkin-Lehner |
2+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19550a |
Isogeny class |
Conductor |
19550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1293984784000000 = 210 · 56 · 172 · 234 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-141217,-20317059] |
[a1,a2,a3,a4,a6] |
Generators |
[27956:56147:64] |
Generators of the group modulo torsion |
j |
19932710512768353/82815026176 |
j-invariant |
L |
3.0687445037217 |
L(r)(E,1)/r! |
Ω |
0.24634072409793 |
Real period |
R |
6.2286585276533 |
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 |
782e2 |
Quadratic twists by: 5 |