Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050fh |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
3932160 |
Modular degree for the optimal curve |
Δ |
-2.57145622272E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,635187,-146561469] |
[a1,a2,a3,a4,a6] |
Generators |
[919:-35308:1] |
Generators of the group modulo torsion |
j |
1023887723039/928972800 |
j-invariant |
L |
8.7621759553344 |
L(r)(E,1)/r! |
Ω |
0.11620586345101 |
Real period |
R |
1.1781591261928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055525 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410bj1 1050c1 |
Quadratic twists by: 5 -11 |