Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050cp |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
840000 |
Modular degree for the optimal curve |
Δ |
-5788187241328800 = -1 · 25 · 35 · 52 · 75 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2659,3660248] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:616:1] |
Generators of the group modulo torsion |
j |
46969655/130691232 |
j-invariant |
L |
6.1936412505296 |
L(r)(E,1)/r! |
Ω |
0.3349588600745 |
Real period |
R |
1.8490752167363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999719543 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050gv2 1050o1 |
Quadratic twists by: 5 -11 |