Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
50160cg |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
77045760000 = 216 · 32 · 54 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1160,6900] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:150:1] |
Generators of the group modulo torsion |
j |
42180533641/18810000 |
j-invariant |
L |
7.6244007761521 |
L(r)(E,1)/r! |
Ω |
0.97701412422332 |
Real period |
R |
0.97547217935689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270c1 |
Quadratic twists by: -4 |