Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
1596c |
Isogeny class |
Conductor |
1596 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
Δ |
366482574925560576 = 28 · 322 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 6 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-184252,-8913100] |
[a1,a2,a3,a4,a6] |
j |
2702232642991073488/1431572558302971 |
j-invariant |
L |
2.6911817644128 |
L(r)(E,1)/r! |
Ω |
0.24465288767389 |
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 |
6384v2 25536e2 4788d2 39900j2 |
Quadratic twists by: -4 8 -3 5 |