Atkin-Lehner |
2- 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
129344u |
Isogeny class |
Conductor |
129344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
2069504 = 210 · 43 · 47 |
Discriminant |
Eigenvalues |
2- -2 1 -2 -4 0 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85,267] |
[a1,a2,a3,a4,a6] |
Generators |
[6:3:1] [7:8:1] |
Generators of the group modulo torsion |
j |
67108864/2021 |
j-invariant |
L |
8.6058575932544 |
L(r)(E,1)/r! |
Ω |
2.6016966285349 |
Real period |
R |
1.6538933672734 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999977595 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129344r1 32336k1 |
Quadratic twists by: -4 8 |