Atkin-Lehner |
2- 3- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
16728k |
Isogeny class |
Conductor |
16728 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
29376 |
Modular degree for the optimal curve |
Δ |
-5903801531136 = -1 · 28 · 39 · 17 · 413 |
Discriminant |
Eigenvalues |
2- 3- 1 1 0 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8620,-332368] |
[a1,a2,a3,a4,a6] |
Generators |
[362:-6642:1] |
Generators of the group modulo torsion |
j |
-276729797638096/23061724731 |
j-invariant |
L |
6.6223315429206 |
L(r)(E,1)/r! |
Ω |
0.24656034631351 |
Real period |
R |
0.24869321273059 |
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 |
33456d1 50184f1 |
Quadratic twists by: -4 -3 |