Atkin-Lehner |
2+ 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
8256x |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
55 |
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 |
[261:774:1] |
Generators of the group modulo torsion |
j |
-7765826776893057088/26042104652121 |
j-invariant |
L |
5.8002023654754 |
L(r)(E,1)/r! |
Ω |
0.4752173945561 |
Real period |
R |
0.2219157506331 |
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 |
8256f1 4128j1 24768bi1 |
Quadratic twists by: -4 8 -3 |