Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
8010n |
Isogeny class |
Conductor |
8010 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
Δ |
-1.2170476074222E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,13869283,-49217308891] |
[a1,a2,a3,a4,a6] |
Generators |
[3727:231016:1] |
Generators of the group modulo torsion |
j |
404723333046222924179831/1669475455997501952000 |
j-invariant |
L |
6.0062259463851 |
L(r)(E,1)/r! |
Ω |
0.043743236582869 |
Real period |
R |
5.721099625507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
64080bj4 2670b4 40050q4 |
Quadratic twists by: -4 -3 5 |