Atkin-Lehner |
5+ 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
82775f |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-6373675 = -1 · 52 · 72 · 112 · 43 |
Discriminant |
Eigenvalues |
0 0 5+ 7+ 11- -2 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-20,126] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:5:1] [18:73:8] |
Generators of the group modulo torsion |
j |
-35389440/254947 |
j-invariant |
L |
8.1342978420675 |
L(r)(E,1)/r! |
Ω |
2.0450997744419 |
Real period |
R |
0.99436442462541 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82775be1 |
Quadratic twists by: 5 |