Atkin-Lehner |
2- 3- 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
82416q |
Isogeny class |
Conductor |
82416 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
517820387328 = 212 · 36 · 17 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3592,-76492] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:54:1] |
Generators of the group modulo torsion |
j |
1251680967433/126420993 |
j-invariant |
L |
10.152769365193 |
L(r)(E,1)/r! |
Ω |
0.62068863388159 |
Real period |
R |
1.3631055371252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001081 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5151a1 |
Quadratic twists by: -4 |