Atkin-Lehner |
3- 41+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
8241d |
Isogeny class |
Conductor |
8241 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
Δ |
-1.3634812478386E+19 |
Discriminant |
Eigenvalues |
0 3- 0 2 3 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,361867,156779447] |
[a1,a2,a3,a4,a6] |
Generators |
[871:33667:1] |
Generators of the group modulo torsion |
j |
5240460501057536000000/13634812478386122363 |
j-invariant |
L |
4.5621569962794 |
L(r)(E,1)/r! |
Ω |
0.15637139388699 |
Real period |
R |
0.69464614291409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24723e2 |
Quadratic twists by: -3 |