Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
12720bj |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
1.2382027703194E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14490240,-21228641100] |
[a1,a2,a3,a4,a6] |
Generators |
[-2220:1890:1] |
Generators of the group modulo torsion |
j |
82146777284059539615361/30229559822250000 |
j-invariant |
L |
6.5586876884237 |
L(r)(E,1)/r! |
Ω |
0.077382053203994 |
Real period |
R |
1.7657754115409 |
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 |
1590q2 50880cd2 38160bj2 63600bp2 |
Quadratic twists by: -4 8 -3 5 |