Atkin-Lehner |
5+ 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
82775a |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-70893689904296875 = -1 · 59 · 73 · 113 · 433 |
Discriminant |
Eigenvalues |
0 2 5+ 7+ 11+ 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-56383,-13789207] |
[a1,a2,a3,a4,a6] |
Generators |
[100673067:27686999522:1331] |
Generators of the group modulo torsion |
j |
-1268691202441216/4537196153875 |
j-invariant |
L |
7.5108638537674 |
L(r)(E,1)/r! |
Ω |
0.14208771111402 |
Real period |
R |
13.215189048311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980202 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16555f2 |
Quadratic twists by: 5 |