Atkin-Lehner |
2+ 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
4872d |
Isogeny class |
Conductor |
4872 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
854509824 = 28 · 34 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-364,-2156] |
[a1,a2,a3,a4,a6] |
j |
20892021712/3337929 |
j-invariant |
L |
1.1045556084062 |
L(r)(E,1)/r! |
Ω |
1.1045556084062 |
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 |
9744g2 38976n2 14616h2 121800bw2 |
Quadratic twists by: -4 8 -3 5 |