Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150ee |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
7.6581082627419E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-204745505,1126902816497] |
[a1,a2,a3,a4,a6] |
Generators |
[-921:1147060:1] |
Generators of the group modulo torsion |
j |
83333435002229316265921/67231677478118400 |
j-invariant |
L |
13.559713810393 |
L(r)(E,1)/r! |
Ω |
0.089121582488836 |
Real period |
R |
3.8037121292734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028526 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37050bb2 22230p2 |
Quadratic twists by: -3 5 |