Atkin-Lehner |
2+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17168d |
Isogeny class |
Conductor |
17168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-2059238147072 = -1 · 210 · 29 · 375 |
Discriminant |
Eigenvalues |
2+ 1 0 0 -5 -4 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1752,-62428] |
[a1,a2,a3,a4,a6] |
j |
580467825500/2010974753 |
j-invariant |
L |
0.84257505521732 |
L(r)(E,1)/r! |
Ω |
0.42128752760866 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8584c1 68672u1 |
Quadratic twists by: -4 8 |