Atkin-Lehner |
2- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650ct |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
296 |
Product of Tamagawa factors cp |
deg |
50012160 |
Modular degree for the optimal curve |
Δ |
-1.0696969305816E+29 |
Discriminant |
Eigenvalues |
2- 1 5- -1 11+ 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-181040263,15763680443017] |
[a1,a2,a3,a4,a6] |
Generators |
[-20298:3338149:1] |
Generators of the group modulo torsion |
j |
-142490208642391/23227183136768 |
j-invariant |
L |
11.085076383341 |
L(r)(E,1)/r! |
Ω |
0.027357173549376 |
Real period |
R |
1.3689127023794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000858 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78650ba1 78650y1 |
Quadratic twists by: 5 -11 |