Atkin-Lehner |
2+ 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424n |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
331633819385856 = 226 · 34 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84417,9427905] |
[a1,a2,a3,a4,a6] |
j |
253792437805297/1265082624 |
j-invariant |
L |
1.0884903845387 |
L(r)(E,1)/r! |
Ω |
0.5442451921936 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47424cy2 1482j2 |
Quadratic twists by: -4 8 |