Atkin-Lehner |
3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16641f |
Isogeny class |
Conductor |
16641 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6300 |
Modular degree for the optimal curve |
Δ |
2492305929 = 36 · 434 |
Discriminant |
Eigenvalues |
-1 3- 1 3 0 -5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-347,722] |
[a1,a2,a3,a4,a6] |
j |
1849 |
j-invariant |
L |
1.2630343818463 |
L(r)(E,1)/r! |
Ω |
1.2630343818463 |
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 |
1849b1 16641i1 |
Quadratic twists by: -3 -43 |