Atkin-Lehner |
2- 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
28140o |
Isogeny class |
Conductor |
28140 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
68416669440 = 28 · 35 · 5 · 72 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6636,-209916] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:18:1] |
Generators of the group modulo torsion |
j |
126260737702864/267252615 |
j-invariant |
L |
6.5803366592855 |
L(r)(E,1)/r! |
Ω |
0.52902078584244 |
Real period |
R |
0.82924739889085 |
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 |
112560be2 84420bc2 |
Quadratic twists by: -4 -3 |