Atkin-Lehner |
5+ 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
82775h |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-176355377365234375 = -1 · 59 · 74 · 11 · 434 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,136145,-5896978] |
[a1,a2,a3,a4,a6] |
Generators |
[104:3010:1] [6849:564175:1] |
Generators of the group modulo torsion |
j |
17861246554904199/11286744151375 |
j-invariant |
L |
6.4727941563263 |
L(r)(E,1)/r! |
Ω |
0.18438458818391 |
Real period |
R |
8.7762136465075 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000348 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16555g4 |
Quadratic twists by: 5 |