Atkin-Lehner |
2+ 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16182h |
Isogeny class |
Conductor |
16182 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
2684399616 = 212 · 36 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 0 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1953,-32643] |
[a1,a2,a3,a4,a6] |
j |
1130389181713/3682304 |
j-invariant |
L |
2.8731521287948 |
L(r)(E,1)/r! |
Ω |
0.71828803219869 |
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 |
129456bv1 1798b1 |
Quadratic twists by: -4 -3 |