Atkin-Lehner |
2+ 3- 5- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
38190p |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1240503008760000 = 26 · 34 · 54 · 19 · 674 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27528,-469994] |
[a1,a2,a3,a4,a6] |
j |
2306880043867559161/1240503008760000 |
j-invariant |
L |
3.1563195557986 |
L(r)(E,1)/r! |
Ω |
0.39453994447541 |
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 |
114570bh3 |
Quadratic twists by: -3 |