Atkin-Lehner |
2- 3+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28704o |
Isogeny class |
Conductor |
28704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
12400128 = 29 · 34 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3192,70488] |
[a1,a2,a3,a4,a6] |
Generators |
[5745:17118:125] |
Generators of the group modulo torsion |
j |
7027137464264/24219 |
j-invariant |
L |
5.2226397583331 |
L(r)(E,1)/r! |
Ω |
1.9697599575089 |
Real period |
R |
5.3028184865105 |
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 |
28704k4 57408bb4 86112o4 |
Quadratic twists by: -4 8 -3 |