Atkin-Lehner |
2- 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8256bg |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-52404937640902656 = -1 · 220 · 319 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 -1 -1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2823937,-1825638239] |
[a1,a2,a3,a4,a6] |
j |
-9500554530751882177/199908972324 |
j-invariant |
L |
1.0481604102854 |
L(r)(E,1)/r! |
Ω |
0.058231133904745 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8256y1 2064o1 24768cf1 |
Quadratic twists by: -4 8 -3 |