Atkin-Lehner |
2- 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
2256n |
Isogeny class |
Conductor |
2256 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-443547648 = -1 · 220 · 32 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 4 0 -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-240,-1836] |
[a1,a2,a3,a4,a6] |
Generators |
[20:42:1] |
Generators of the group modulo torsion |
j |
-374805361/108288 |
j-invariant |
L |
3.2235147578126 |
L(r)(E,1)/r! |
Ω |
0.59734763730792 |
Real period |
R |
2.6981899286822 |
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 |
282b1 9024bh1 6768u1 56400bw1 |
Quadratic twists by: -4 8 -3 5 |