Atkin-Lehner |
2+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
57664o |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
-57664 = -1 · 26 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ 0 -1 -1 0 5 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23,44] |
[a1,a2,a3,a4,a6] |
Generators |
[4:4:1] |
Generators of the group modulo torsion |
j |
-21024576/901 |
j-invariant |
L |
4.6742087596312 |
L(r)(E,1)/r! |
Ω |
3.491703067439 |
Real period |
R |
1.3386615841821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57664n1 28832j1 |
Quadratic twists by: -4 8 |