Atkin-Lehner |
11- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
53911d |
Isogeny class |
Conductor |
53911 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
741888 |
Modular degree for the optimal curve |
Δ |
-154314797879506979 = -1 · 113 · 1310 · 292 |
Discriminant |
Eigenvalues |
2 1 3 0 11- 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,9746,18899625] |
[a1,a2,a3,a4,a6] |
Generators |
[663630:36821105:216] |
Generators of the group modulo torsion |
j |
21207928832/31970355131 |
j-invariant |
L |
17.749969130956 |
L(r)(E,1)/r! |
Ω |
0.25411221880334 |
Real period |
R |
5.820908971703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999635 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4147b1 |
Quadratic twists by: 13 |