Atkin-Lehner |
2+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4256a |
Isogeny class |
Conductor |
4256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-143061184 = -1 · 26 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 0 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-89,660] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:30:1] |
Generators of the group modulo torsion |
j |
-1218186432/2235331 |
j-invariant |
L |
3.8385216203207 |
L(r)(E,1)/r! |
Ω |
1.6395547150588 |
Real period |
R |
2.341197634373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4256b1 8512a2 38304bj1 106400bw1 |
Quadratic twists by: -4 8 -3 5 |