Atkin-Lehner |
2+ 3+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19608a |
Isogeny class |
Conductor |
19608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7529472 = 210 · 32 · 19 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-156864,23965308] |
[a1,a2,a3,a4,a6] |
j |
416865908534471428/7353 |
j-invariant |
L |
1.2091176460166 |
L(r)(E,1)/r! |
Ω |
1.2091176460166 |
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 |
39216g4 58824h4 |
Quadratic twists by: -4 -3 |