Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48024o |
Isogeny class |
Conductor |
48024 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-292399310592 = -1 · 28 · 310 · 23 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -2 -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,321,25922] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-162:1] |
Generators of the group modulo torsion |
j |
19600688/1566783 |
j-invariant |
L |
4.6943941460339 |
L(r)(E,1)/r! |
Ω |
0.74384301342897 |
Real period |
R |
0.78887514926928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96048k2 16008c2 |
Quadratic twists by: -4 -3 |