Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
83664ck |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
16321536 |
Modular degree for the optimal curve |
Δ |
-1.2332614713712E+25 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 2 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10401549,-168466608718] |
[a1,a2,a3,a4,a6] |
Generators |
[5263:179046:1] |
Generators of the group modulo torsion |
j |
41680247940186217487/4130167714800992256 |
j-invariant |
L |
8.4404782904912 |
L(r)(E,1)/r! |
Ω |
0.03380621033315 |
Real period |
R |
2.8371865722025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001464 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10458h1 27888z1 |
Quadratic twists by: -4 -3 |