Atkin-Lehner |
2+ 3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552bk |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-7.6793204393802E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1568223,4148393535] |
[a1,a2,a3,a4,a6] |
Generators |
[-1062:35865:1] |
Generators of the group modulo torsion |
j |
1627072745373049463/29294282681961696 |
j-invariant |
L |
10.405864733612 |
L(r)(E,1)/r! |
Ω |
0.098219865099634 |
Real period |
R |
5.8858113452971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995641 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552cl2 3486b2 |
Quadratic twists by: -4 8 |