Atkin-Lehner |
2- 3- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16182o |
Isogeny class |
Conductor |
16182 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
2479099417767936 = 212 · 36 · 29 · 315 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 -4 -2 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-632471,-193428561] |
[a1,a2,a3,a4,a6] |
j |
38381097689522696233/3400685072384 |
j-invariant |
L |
4.0630578388869 |
L(r)(E,1)/r! |
Ω |
0.16929407662029 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129456cd1 1798a1 |
Quadratic twists by: -4 -3 |