Atkin-Lehner |
2+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
28832a |
Isogeny class |
Conductor |
28832 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
3690496 = 212 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ 3 -1 -2 0 5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88,-304] |
[a1,a2,a3,a4,a6] |
Generators |
[-168:44:27] |
Generators of the group modulo torsion |
j |
18399744/901 |
j-invariant |
L |
9.0051057316744 |
L(r)(E,1)/r! |
Ω |
1.5634945925901 |
Real period |
R |
2.8798007279182 |
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 |
28832b1 57664bg1 |
Quadratic twists by: -4 8 |