Atkin-Lehner |
2+ 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24288a |
Isogeny class |
Conductor |
24288 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
786542592 = 212 · 3 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-353,2289] |
[a1,a2,a3,a4,a6] |
Generators |
[1:44:1] |
Generators of the group modulo torsion |
j |
1191016000/192027 |
j-invariant |
L |
3.1958897262093 |
L(r)(E,1)/r! |
Ω |
1.523302819941 |
Real period |
R |
0.52450006728358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24288k2 48576dj1 72864bg2 |
Quadratic twists by: -4 8 -3 |