Atkin-Lehner |
2+ 3+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
16614a |
Isogeny class |
Conductor |
16614 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
-7077564 = -1 · 22 · 33 · 13 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 0 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-141,-623] |
[a1,a2,a3,a4,a6] |
Generators |
[41:227:1] |
Generators of the group modulo torsion |
j |
-11527859979/262132 |
j-invariant |
L |
4.584106594754 |
L(r)(E,1)/r! |
Ω |
0.69157027847855 |
Real period |
R |
3.3142738615365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16614n1 |
Quadratic twists by: -3 |