Atkin-Lehner |
2- 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8496t |
Isogeny class |
Conductor |
8496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8.2471527193488E+21 |
Discriminant |
Eigenvalues |
2- 3- -4 0 -4 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1911027,-4486042190] |
[a1,a2,a3,a4,a6] |
Generators |
[53513:12374784:1] |
Generators of the group modulo torsion |
j |
-258485808917791729/2761954759084032 |
j-invariant |
L |
2.9020314565717 |
L(r)(E,1)/r! |
Ω |
0.055660815189448 |
Real period |
R |
6.5172227685993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1062f2 33984cd2 2832g2 |
Quadratic twists by: -4 8 -3 |