Atkin-Lehner |
2- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33856x |
Isogeny class |
Conductor |
33856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10264377462751232 = 217 · 238 |
Discriminant |
Eigenvalues |
2- 0 0 4 -6 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74060,6034832] |
[a1,a2,a3,a4,a6] |
Generators |
[-186507:2092195:729] |
Generators of the group modulo torsion |
j |
2315250/529 |
j-invariant |
L |
5.608201372492 |
L(r)(E,1)/r! |
Ω |
0.38304676983816 |
Real period |
R |
7.3205177723614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33856a2 8464a2 1472h2 |
Quadratic twists by: -4 8 -23 |