Atkin-Lehner |
2- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
90992bb |
Isogeny class |
Conductor |
90992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
5637136384 = 213 · 114 · 47 |
Discriminant |
Eigenvalues |
2- -1 -3 -2 11- -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3912,-92816] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:8:1] [-35:2:1] |
Generators of the group modulo torsion |
j |
110433433/94 |
j-invariant |
L |
6.3122672668798 |
L(r)(E,1)/r! |
Ω |
0.60368833517631 |
Real period |
R |
2.6140422544233 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11374e1 90992ba1 |
Quadratic twists by: -4 -11 |