Atkin-Lehner |
2- 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792cv |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
121198608384 = 227 · 3 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 0 -5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8484897,9510182751] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:100896:1] [1703:1536:1] |
Generators of the group modulo torsion |
j |
257705427598877502217/462336 |
j-invariant |
L |
9.639883897071 |
L(r)(E,1)/r! |
Ω |
0.4780274558066 |
Real period |
R |
5.0414907030827 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57792u3 14448l3 |
Quadratic twists by: -4 8 |