Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
110544bk |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
931608830883612672 = 211 · 36 · 710 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 2 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1486480,-696516556] |
[a1,a2,a3,a4,a6] |
Generators |
[-724:846:1] |
Generators of the group modulo torsion |
j |
1507589218227458/3866476761 |
j-invariant |
L |
5.7270895199596 |
L(r)(E,1)/r! |
Ω |
0.1367498003557 |
Real period |
R |
1.7450024122927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999370182 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55272x2 15792c2 |
Quadratic twists by: -4 -7 |