Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472df |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
82356613025792 = 212 · 72 · 177 |
Discriminant |
Eigenvalues |
2- 2 0 7- 6 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-321753,70353689] |
[a1,a2,a3,a4,a6] |
Generators |
[5531:409224:1] |
Generators of the group modulo torsion |
j |
37259704000/833 |
j-invariant |
L |
11.400152175244 |
L(r)(E,1)/r! |
Ω |
0.56201765946819 |
Real period |
R |
5.0710827441898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999612352 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472cg1 64736t1 7616g1 |
Quadratic twists by: -4 8 17 |