Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472cy |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
8485076992 = 222 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 1 -2 7- -2 -2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-929,-10273] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:1:1] |
Generators of the group modulo torsion |
j |
1171657/112 |
j-invariant |
L |
5.3697704483444 |
L(r)(E,1)/r! |
Ω |
0.86998881320123 |
Real period |
R |
3.0861146132719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000128009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472g1 32368ba1 129472co1 |
Quadratic twists by: -4 8 17 |