Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28665m |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
50586128775 = 33 · 52 · 78 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 2 13+ 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10299,-399582] |
[a1,a2,a3,a4,a6] |
Generators |
[1094:6313:8] |
Generators of the group modulo torsion |
j |
38034753147/15925 |
j-invariant |
L |
7.0915852839678 |
L(r)(E,1)/r! |
Ω |
0.47392511773076 |
Real period |
R |
3.7408785790483 |
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 |
28665d2 4095c2 |
Quadratic twists by: -3 -7 |