Atkin-Lehner |
2+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
16048h |
Isogeny class |
Conductor |
16048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-421447361555456 = -1 · 210 · 178 · 59 |
Discriminant |
Eigenvalues |
2+ -3 1 1 6 -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-116827,-15401318] |
[a1,a2,a3,a4,a6] |
j |
-172208042161338564/411569689019 |
j-invariant |
L |
1.0327888893216 |
L(r)(E,1)/r! |
Ω |
0.12909861116521 |
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 |
8024b1 64192br1 |
Quadratic twists by: -4 8 |