Atkin-Lehner |
3+ 5- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129675r |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
305760 |
Modular degree for the optimal curve |
Δ |
-1477079296875 = -1 · 37 · 58 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- -1 13+ -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2792,13068] |
[a1,a2,a3,a4,a6] |
Generators |
[3:146:1] |
Generators of the group modulo torsion |
j |
6159626240/3781323 |
j-invariant |
L |
2.1166667764833 |
L(r)(E,1)/r! |
Ω |
0.52429847333764 |
Real period |
R |
4.0371410505196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999994663645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129675y1 |
Quadratic twists by: 5 |