Atkin-Lehner |
2- 5- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
116200x |
Isogeny class |
Conductor |
116200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-406700000000 = -1 · 28 · 58 · 72 · 83 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 0 0 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3708,93412] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:350:1] |
Generators of the group modulo torsion |
j |
-56397520/4067 |
j-invariant |
L |
5.0493343777146 |
L(r)(E,1)/r! |
Ω |
0.92978462484835 |
Real period |
R |
0.22627706227689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999949801 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116200l1 |
Quadratic twists by: 5 |