Atkin-Lehner |
2+ 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8256p |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-45796032 = -1 · 26 · 32 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 1 5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-391,2867] |
[a1,a2,a3,a4,a6] |
j |
-103558145536/715563 |
j-invariant |
L |
4.060048917776 |
L(r)(E,1)/r! |
Ω |
2.030024458888 |
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 |
8256l1 4128l1 24768w1 |
Quadratic twists by: -4 8 -3 |