Atkin-Lehner |
11- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
120263f |
Isogeny class |
Conductor |
120263 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5550600 |
Modular degree for the optimal curve |
Δ |
2043117905482814303 = 11 · 135 · 298 |
Discriminant |
Eigenvalues |
-1 -2 0 4 11- 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12258013,16517625306] |
[a1,a2,a3,a4,a6] |
Generators |
[781993009:-88112731:389017] |
Generators of the group modulo torsion |
j |
407192681640625/4084223 |
j-invariant |
L |
3.355955897738 |
L(r)(E,1)/r! |
Ω |
0.23650990539225 |
Real period |
R |
14.189493892004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000118525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120263a1 |
Quadratic twists by: 29 |