Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83232bj |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3585277705866932736 = 29 · 310 · 179 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-604299,-156184270] |
[a1,a2,a3,a4,a6] |
Generators |
[-7527600824166978:53457827169526100:23317668144009] |
Generators of the group modulo torsion |
j |
551368/81 |
j-invariant |
L |
9.2927885438396 |
L(r)(E,1)/r! |
Ω |
0.17291414085313 |
Real period |
R |
26.871106363643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002749 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83232bl2 27744e2 83232bp2 |
Quadratic twists by: -4 -3 17 |