Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10192a |
Isogeny class |
Conductor |
10192 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
2634375701776 = 24 · 78 · 134 |
Discriminant |
Eigenvalues |
2+ 1 3 7+ 1 13+ -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3544,21139] |
[a1,a2,a3,a4,a6] |
Generators |
[-1185:8281:27] |
Generators of the group modulo torsion |
j |
53385472/28561 |
j-invariant |
L |
6.1525639232721 |
L(r)(E,1)/r! |
Ω |
0.70869910093925 |
Real period |
R |
1.4469149448424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5096a1 40768cg1 91728r1 10192i1 |
Quadratic twists by: -4 8 -3 -7 |