Atkin-Lehner |
2- 3+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
16728d |
Isogeny class |
Conductor |
16728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
6423552 = 210 · 32 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 4 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2088,-36036] |
[a1,a2,a3,a4,a6] |
j |
983610638500/6273 |
j-invariant |
L |
2.8249434405385 |
L(r)(E,1)/r! |
Ω |
0.70623586013462 |
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 |
33456f1 50184m1 |
Quadratic twists by: -4 -3 |