Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488do |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-255688704 = -1 · 215 · 33 · 172 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 -1 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,159,63] |
[a1,a2,a3,a4,a6] |
Generators |
[3:24:1] |
Generators of the group modulo torsion |
j |
46648/27 |
j-invariant |
L |
4.6936155954756 |
L(r)(E,1)/r! |
Ω |
1.0465986154346 |
Real period |
R |
0.37371980736679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488ck1 27744c1 55488dc1 |
Quadratic twists by: -4 8 17 |