Atkin-Lehner |
2+ 3+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19608b |
Isogeny class |
Conductor |
19608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
34429765632 = 211 · 3 · 194 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5624,163980] |
[a1,a2,a3,a4,a6] |
j |
9607423061234/16811409 |
j-invariant |
L |
1.1630998456011 |
L(r)(E,1)/r! |
Ω |
1.1630998456011 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39216e4 58824j4 |
Quadratic twists by: -4 -3 |