Atkin-Lehner |
2- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
57232l |
Isogeny class |
Conductor |
57232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1006653424566272 = 215 · 78 · 732 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 6 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25104,-125420] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:1168:1] |
Generators of the group modulo torsion |
j |
3630961153/2088968 |
j-invariant |
L |
3.9245449079961 |
L(r)(E,1)/r! |
Ω |
0.41257434811183 |
Real period |
R |
1.1890417224753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994189 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7154k2 8176c2 |
Quadratic twists by: -4 -7 |