Atkin-Lehner |
2- 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
50160cd |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
975110400000000 = 214 · 36 · 58 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44120,-3249900] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:450:1] |
Generators of the group modulo torsion |
j |
2318889846161881/238064062500 |
j-invariant |
L |
7.1622086279029 |
L(r)(E,1)/r! |
Ω |
0.33159509900627 |
Real period |
R |
0.44998457514694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270d1 |
Quadratic twists by: -4 |