Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050ip |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
deg |
186624000 |
Modular degree for the optimal curve |
Δ |
-1.0197421749176E+29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 1 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6486365388,-201658036243608] |
[a1,a2,a3,a4,a6] |
Generators |
[125502:30937974:1] |
Generators of the group modulo torsion |
j |
-43612581618346739773945/147358175518034712 |
j-invariant |
L |
14.01284893349 |
L(r)(E,1)/r! |
Ω |
0.0084097164058879 |
Real period |
R |
1.9285519762668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999753885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050y1 11550bg1 |
Quadratic twists by: 5 -11 |