Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
82656bf |
Isogeny class |
Conductor |
82656 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
75776 |
Modular degree for the optimal curve |
Δ |
-17996525568 = -1 · 212 · 37 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -1 -4 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3720,87568] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:252:1] [32:-36:1] |
Generators of the group modulo torsion |
j |
-1906624000/6027 |
j-invariant |
L |
11.086994316901 |
L(r)(E,1)/r! |
Ω |
1.2321782616566 |
Real period |
R |
0.56236761058788 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82656c1 27552i1 |
Quadratic twists by: -4 -3 |