Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20808y |
Isogeny class |
Conductor |
20808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-33958656 = -1 · 28 · 33 · 173 |
Discriminant |
Eigenvalues |
2- 3+ -3 -4 1 -5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-204,1156] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:18:1] [0:34:1] |
Generators of the group modulo torsion |
j |
-27648 |
j-invariant |
L |
5.9256958578378 |
L(r)(E,1)/r! |
Ω |
2.0571583290032 |
Real period |
R |
0.36006561662601 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41616i1 20808d1 20808w1 |
Quadratic twists by: -4 -3 17 |