Atkin-Lehner |
2+ 3- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
16614i |
Isogeny class |
Conductor |
16614 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-52483626 = -1 · 2 · 37 · 132 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 3 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9,351] |
[a1,a2,a3,a4,a6] |
Generators |
[15:51:1] |
Generators of the group modulo torsion |
j |
-117649/71994 |
j-invariant |
L |
3.8970965723205 |
L(r)(E,1)/r! |
Ω |
1.6158060822871 |
Real period |
R |
0.60296477019142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5538p1 |
Quadratic twists by: -3 |