Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27720bq |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
155600676000000 = 28 · 38 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49647,4215314] |
[a1,a2,a3,a4,a6] |
Generators |
[193:-1350:1] |
Generators of the group modulo torsion |
j |
72516235474384/833765625 |
j-invariant |
L |
6.0446370634572 |
L(r)(E,1)/r! |
Ω |
0.57890615919185 |
Real period |
R |
0.43506166525443 |
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 |
55440bf2 9240c2 |
Quadratic twists by: -4 -3 |