Atkin-Lehner |
2- 3- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
16614s |
Isogeny class |
Conductor |
16614 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-13435808256 = -1 · 29 · 37 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 -1 13+ -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,211,5397] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:56:1] [-1:72:1] |
Generators of the group modulo torsion |
j |
1431435383/18430464 |
j-invariant |
L |
7.9102932314047 |
L(r)(E,1)/r! |
Ω |
0.93017550106647 |
Real period |
R |
0.1181123171311 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5538a1 |
Quadratic twists by: -3 |