Atkin-Lehner |
2- 7- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
127568bj |
Isogeny class |
Conductor |
127568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
170496 |
Modular degree for the optimal curve |
Δ |
35531259904 = 218 · 7 · 172 · 67 |
Discriminant |
Eigenvalues |
2- 3 -3 7- 0 1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-979,-7534] |
[a1,a2,a3,a4,a6] |
Generators |
[-285:1088:27] |
Generators of the group modulo torsion |
j |
25334470953/8674624 |
j-invariant |
L |
11.966440869273 |
L(r)(E,1)/r! |
Ω |
0.87725741713829 |
Real period |
R |
1.7050925478122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000161677 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15946b1 |
Quadratic twists by: -4 |