Atkin-Lehner |
2+ 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16150o |
Isogeny class |
Conductor |
16150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16800 |
Modular degree for the optimal curve |
Δ |
-5046875000 = -1 · 23 · 59 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3 5- 0 1 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8,3416] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:1606:27] |
Generators of the group modulo torsion |
j |
27/2584 |
j-invariant |
L |
6.4008857945175 |
L(r)(E,1)/r! |
Ω |
1.0800122769746 |
Real period |
R |
2.9633393670523 |
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 |
129200dh1 16150w1 |
Quadratic twists by: -4 5 |