Atkin-Lehner |
2- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57596d |
Isogeny class |
Conductor |
57596 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
9561627152 = 24 · 74 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 11- -3 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-605,-3267] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:37:1] [-13:49:1] |
Generators of the group modulo torsion |
j |
104544000/40817 |
j-invariant |
L |
9.3242402799677 |
L(r)(E,1)/r! |
Ω |
0.99523003448385 |
Real period |
R |
1.5614882919685 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57596i1 |
Quadratic twists by: -11 |