Atkin-Lehner |
2- 3+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
16614m |
Isogeny class |
Conductor |
16614 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
12575916527616 = 212 · 39 · 133 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-88319,-10078937] |
[a1,a2,a3,a4,a6] |
Generators |
[2527:124826:1] |
Generators of the group modulo torsion |
j |
3870706473992331/638922752 |
j-invariant |
L |
8.4698472279523 |
L(r)(E,1)/r! |
Ω |
0.2769431991843 |
Real period |
R |
5.0972228558654 |
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 |
16614b1 |
Quadratic twists by: -3 |