Atkin-Lehner |
2+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
65600z |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
82000000000 = 210 · 59 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 4 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7000,225000] |
[a1,a2,a3,a4,a6] |
j |
18966528/41 |
j-invariant |
L |
4.3345018416814 |
L(r)(E,1)/r! |
Ω |
1.0836254597762 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65600ch1 8200l1 65600ba1 |
Quadratic twists by: -4 8 5 |