Atkin-Lehner |
2- 3+ |
Signs for the Atkin-Lehner involutions |
Class |
24a |
Isogeny class |
Conductor |
24 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-48 = -1 · 24 · 3 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1,0] |
[a1,a2,a3,a4,a6] |
j |
2048/3 |
j-invariant |
L |
0.53912891187491 |
L(r)(E,1)/r! |
Ω |
4.3130312949993 |
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 |
48a4 192c1 72a1 600d1 |
Quadratic twists by: -4 8 -3 5 |