Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
127050fy |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
-4509815587200 = -1 · 27 · 32 · 52 · 76 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -3 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4117,-8359] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-482:1] |
Generators of the group modulo torsion |
j |
231921844285/135531648 |
j-invariant |
L |
8.6662103345209 |
L(r)(E,1)/r! |
Ω |
0.45658367577388 |
Real period |
R |
0.11297947771082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020221 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050ds1 127050b1 |
Quadratic twists by: 5 -11 |