Atkin-Lehner |
2- 3+ 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16530x |
Isogeny class |
Conductor |
16530 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-10521596256000 = -1 · 28 · 3 · 53 · 194 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4645,-95575] |
[a1,a2,a3,a4,a6] |
j |
11083451457520079/10521596256000 |
j-invariant |
L |
4.7319147722424 |
L(r)(E,1)/r! |
Ω |
0.3943262310202 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49590r1 82650w1 |
Quadratic twists by: -3 5 |