Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4056i |
Isogeny class |
Conductor |
4056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
97731066221568 = 210 · 32 · 139 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -4 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44672,-3617808] |
[a1,a2,a3,a4,a6] |
Generators |
[319908:34818056:27] |
Generators of the group modulo torsion |
j |
907924/9 |
j-invariant |
L |
4.4032515823693 |
L(r)(E,1)/r! |
Ω |
0.32858658901725 |
Real period |
R |
6.700291079345 |
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 |
8112f2 32448s2 12168w2 101400cj2 |
Quadratic twists by: -4 8 -3 5 |