Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600cx |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-2753740800 = -1 · 214 · 34 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 0 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,2708] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-48:1] |
Generators of the group modulo torsion |
j |
-9765625/26892 |
j-invariant |
L |
10.126242904096 |
L(r)(E,1)/r! |
Ω |
1.265618612436 |
Real period |
R |
0.50006390140314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12450q1 99600cn1 |
Quadratic twists by: -4 5 |