Atkin-Lehner |
2+ 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16182h |
Isogeny class |
Conductor |
16182 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
8474743961136 = 24 · 36 · 293 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 0 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9873,353133] |
[a1,a2,a3,a4,a6] |
j |
146005204837393/11625163184 |
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 |
3 |
Number of elements in the torsion subgroup |
Twists |
129456bv2 1798b2 |
Quadratic twists by: -4 -3 |