Atkin-Lehner |
5- 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
82775y |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
2218111328125 = 59 · 74 · 11 · 43 |
Discriminant |
Eigenvalues |
0 1 5- 7- 11+ -7 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4333,81744] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:437:1] |
Generators of the group modulo torsion |
j |
4607442944/1135673 |
j-invariant |
L |
4.0538133208372 |
L(r)(E,1)/r! |
Ω |
0.77095954700064 |
Real period |
R |
0.65726751393986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82775q1 |
Quadratic twists by: 5 |