Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
21420v |
Isogeny class |
Conductor |
21420 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
65583756000000 = 28 · 39 · 56 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19407,-964906] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:270:1] |
Generators of the group modulo torsion |
j |
4331431355344/351421875 |
j-invariant |
L |
4.8326646850642 |
L(r)(E,1)/r! |
Ω |
0.40657615233458 |
Real period |
R |
0.33017353557362 |
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 |
85680fv2 7140a2 107100bn2 |
Quadratic twists by: -4 -3 5 |