Atkin-Lehner |
5- 7- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
127925l |
Isogeny class |
Conductor |
127925 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
175616 |
Modular degree for the optimal curve |
Δ |
-3235803389875 = -1 · 53 · 77 · 17 · 432 |
Discriminant |
Eigenvalues |
0 0 5- 7- -2 -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10520,424231] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:752:1] [-158:6317:8] |
Generators of the group modulo torsion |
j |
-1030056195391488/25886427119 |
j-invariant |
L |
9.166658766127 |
L(r)(E,1)/r! |
Ω |
0.79483813519836 |
Real period |
R |
0.41188344621818 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999971804 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127925j1 |
Quadratic twists by: 5 |