Atkin-Lehner |
2+ 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28704j |
Isogeny class |
Conductor |
28704 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1235879424 = 29 · 33 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -2 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48664,4115816] |
[a1,a2,a3,a4,a6] |
Generators |
[131:-78:1] |
Generators of the group modulo torsion |
j |
24893507083693256/2413827 |
j-invariant |
L |
6.3952778504294 |
L(r)(E,1)/r! |
Ω |
1.1795419115254 |
Real period |
R |
0.90363863405227 |
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 |
28704p2 57408g2 86112bo2 |
Quadratic twists by: -4 8 -3 |