Atkin-Lehner |
2+ 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8256f |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-1666694697735744 = -1 · 26 · 311 · 435 |
Discriminant |
Eigenvalues |
2+ 3+ 3 1 1 -3 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-165024,-25822638] |
[a1,a2,a3,a4,a6] |
Generators |
[1277734291834224503477:-5901276858418927215009866:59900390141383] |
Generators of the group modulo torsion |
j |
-7765826776893057088/26042104652121 |
j-invariant |
L |
4.5025911402552 |
L(r)(E,1)/r! |
Ω |
0.11841190410463 |
Real period |
R |
38.0248183179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8256x1 4128g1 24768t1 |
Quadratic twists by: -4 8 -3 |