Atkin-Lehner |
3- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129591i |
Isogeny class |
Conductor |
129591 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4257792 |
Modular degree for the optimal curve |
Δ |
-1.4221583878202E+21 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 11- 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2237328,1277284729] |
[a1,a2,a3,a4,a6] |
Generators |
[-207026867615047006192:733566939747236603095229:20704831811172371953] |
Generators of the group modulo torsion |
j |
65502548375/75213117 |
j-invariant |
L |
7.2932367106105 |
L(r)(E,1)/r! |
Ω |
0.10106860535234 |
Real period |
R |
36.08062407305 |
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 |
43197f1 129591w1 |
Quadratic twists by: -3 -11 |