Atkin-Lehner |
2- 3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129744bb |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
83971877879808 = 214 · 39 · 173 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 2 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11019,61882] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:270:1] |
Generators of the group modulo torsion |
j |
49552182217/28122012 |
j-invariant |
L |
8.6188878902876 |
L(r)(E,1)/r! |
Ω |
0.52198645480075 |
Real period |
R |
2.063963496506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999805696 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16218o1 43248bg1 |
Quadratic twists by: -4 -3 |