Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
57960bq |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
106496 |
Modular degree for the optimal curve |
Δ |
24647490000 = 24 · 37 · 54 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10218,-397483] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:7:1] |
Generators of the group modulo torsion |
j |
10115186538496/2113125 |
j-invariant |
L |
5.2639591304913 |
L(r)(E,1)/r! |
Ω |
0.47485774348557 |
Real period |
R |
1.3856673926922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115920o1 19320f1 |
Quadratic twists by: -4 -3 |