Atkin-Lehner |
2- 3- 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
16614w |
Isogeny class |
Conductor |
16614 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-567662898816 = -1 · 27 · 37 · 134 · 71 |
Discriminant |
Eigenvalues |
2- 3- 1 1 -5 13- 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5207,150383] |
[a1,a2,a3,a4,a6] |
Generators |
[33:100:1] |
Generators of the group modulo torsion |
j |
-21413157997609/778687104 |
j-invariant |
L |
7.919415420518 |
L(r)(E,1)/r! |
Ω |
0.91475975579587 |
Real period |
R |
0.15459592708712 |
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 |
5538h1 |
Quadratic twists by: -3 |