Atkin-Lehner |
3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16245g |
Isogeny class |
Conductor |
16245 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-225009495 = -1 · 38 · 5 · 193 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,103,-624] |
[a1,a2,a3,a4,a6] |
Generators |
[14:51:1] |
Generators of the group modulo torsion |
j |
24389/45 |
j-invariant |
L |
3.5803084189703 |
L(r)(E,1)/r! |
Ω |
0.92572854272261 |
Real period |
R |
1.9337787773295 |
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 |
5415a1 81225s1 16245f1 |
Quadratic twists by: -3 5 -19 |