Atkin-Lehner |
2+ 3+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
50160b |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4.4265281249376E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ 6 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-968736,179814240] |
[a1,a2,a3,a4,a6] |
Generators |
[-932:16500:1] |
Generators of the group modulo torsion |
j |
49091977417984174658/21613906860046875 |
j-invariant |
L |
3.6266699903775 |
L(r)(E,1)/r! |
Ω |
0.18220422404349 |
Real period |
R |
2.4880529042558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999579 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080r2 |
Quadratic twists by: -4 |