Atkin-Lehner |
2+ 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
43056i |
Isogeny class |
Conductor |
43056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
19216254613690368 = 211 · 322 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-134499,17775682] |
[a1,a2,a3,a4,a6] |
Generators |
[33030:103504:125] |
Generators of the group modulo torsion |
j |
180228470715074/12870969579 |
j-invariant |
L |
6.6303160008612 |
L(r)(E,1)/r! |
Ω |
0.37828219957903 |
Real period |
R |
8.7637166224606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21528g3 14352p3 |
Quadratic twists by: -4 -3 |