Atkin-Lehner |
2- 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
24552l |
Isogeny class |
Conductor |
24552 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
73066752 = 28 · 33 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 11- 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-207,-1070] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:8:1] [-7:6:1] |
Generators of the group modulo torsion |
j |
141915888/10571 |
j-invariant |
L |
5.8509005181868 |
L(r)(E,1)/r! |
Ω |
1.2645807102061 |
Real period |
R |
1.1566878394882 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49104a2 24552b2 |
Quadratic twists by: -4 -3 |