Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8256bm |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
353349402624 = 218 · 36 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1889,12831] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:180:1] |
Generators of the group modulo torsion |
j |
2845178713/1347921 |
j-invariant |
L |
4.5564218133067 |
L(r)(E,1)/r! |
Ω |
0.85443143547069 |
Real period |
R |
1.7775648320635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8256j2 2064i2 24768cc2 |
Quadratic twists by: -4 8 -3 |