Atkin-Lehner |
3- 5+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
14145d |
Isogeny class |
Conductor |
14145 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
395282025 = 36 · 52 · 232 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 4 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-661,6416] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:107:1] |
Generators of the group modulo torsion |
j |
31942518433489/395282025 |
j-invariant |
L |
3.3628243046862 |
L(r)(E,1)/r! |
Ω |
1.6931940567305 |
Real period |
R |
0.33101387004037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42435e1 70725a1 |
Quadratic twists by: -3 5 |