Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16758u |
Isogeny class |
Conductor |
16758 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
3161088 |
Modular degree for the optimal curve |
Δ |
-2.511915028238E+24 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -3 -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,28802803,-47700393163] |
[a1,a2,a3,a4,a6] |
Generators |
[6975:698296:1] |
Generators of the group modulo torsion |
j |
628805222251722551/597713542447104 |
j-invariant |
L |
7.7774208269876 |
L(r)(E,1)/r! |
Ω |
0.044427003941697 |
Real period |
R |
1.0420277642392 |
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 |
5586m1 16758bn1 |
Quadratic twists by: -3 -7 |