Atkin-Lehner |
2- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
77248u |
Isogeny class |
Conductor |
77248 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.0290745056109E+22 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33043756,-72947822640] |
[a1,a2,a3,a4,a6] |
Generators |
[10786657411919564:-46222282990080912:1623477254777] |
Generators of the group modulo torsion |
j |
15221309264975006532513/39256077026783296 |
j-invariant |
L |
4.4361203889496 |
L(r)(E,1)/r! |
Ω |
0.062978819571811 |
Real period |
R |
23.479430163647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002646 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
77248j2 19312j2 |
Quadratic twists by: -4 8 |