Atkin-Lehner |
2+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
23744a |
Isogeny class |
Conductor |
23744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
20023505911808 = 216 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7724,-148048] |
[a1,a2,a3,a4,a6] |
Generators |
[1794632:129793980:343] |
Generators of the group modulo torsion |
j |
777625649028/305534453 |
j-invariant |
L |
6.1990601475259 |
L(r)(E,1)/r! |
Ω |
0.52667668034588 |
Real period |
R |
11.770143579273 |
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 |
23744be4 2968a3 |
Quadratic twists by: -4 8 |