Atkin-Lehner |
5- 7+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
82775q |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
141959125 = 53 · 74 · 11 · 43 |
Discriminant |
Eigenvalues |
0 -1 5- 7+ 11+ 7 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-173,723] |
[a1,a2,a3,a4,a6] |
Generators |
[27:122:1] |
Generators of the group modulo torsion |
j |
4607442944/1135673 |
j-invariant |
L |
4.382370112026 |
L(r)(E,1)/r! |
Ω |
1.7239179549959 |
Real period |
R |
0.63552475081823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999929414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82775y1 |
Quadratic twists by: 5 |