Atkin-Lehner |
2- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
57664bf |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
57664 = 26 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3 1 2 0 -5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22,38] |
[a1,a2,a3,a4,a6] |
Generators |
[3:161:27] |
Generators of the group modulo torsion |
j |
18399744/901 |
j-invariant |
L |
12.859755658801 |
L(r)(E,1)/r! |
Ω |
3.4792341278371 |
Real period |
R |
3.6961455269914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998756 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57664bg1 28832b1 |
Quadratic twists by: -4 8 |