Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129850ce |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
21504000 |
Modular degree for the optimal curve |
Δ |
-2.4963294554293E+23 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36275338,-87477476969] |
[a1,a2,a3,a4,a6] |
Generators |
[1592848531:12832597085:226981] |
Generators of the group modulo torsion |
j |
-2871771293482144201/135798081707008 |
j-invariant |
L |
15.313935392469 |
L(r)(E,1)/r! |
Ω |
0.03067395700275 |
Real period |
R |
12.481219402634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999350506 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5194j1 18550l1 |
Quadratic twists by: 5 -7 |