Atkin-Lehner |
2- 3- 5- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
127260k |
Isogeny class |
Conductor |
127260 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-1665782496000 = -1 · 28 · 36 · 53 · 7 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -1 -5 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12792,560324] |
[a1,a2,a3,a4,a6] |
Generators |
[128:1010:1] |
Generators of the group modulo torsion |
j |
-1240428027904/8925875 |
j-invariant |
L |
6.6296257733596 |
L(r)(E,1)/r! |
Ω |
0.84609541626735 |
Real period |
R |
0.43530852876256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997859518 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14140a1 |
Quadratic twists by: -3 |