Atkin-Lehner |
2- 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17856cd |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-1481048064 = -1 · 216 · 36 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -2 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,276,-560] |
[a1,a2,a3,a4,a6] |
j |
48668/31 |
j-invariant |
L |
1.7338455895579 |
L(r)(E,1)/r! |
Ω |
0.86692279477893 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17856p1 4464j1 1984l1 |
Quadratic twists by: -4 8 -3 |