Atkin-Lehner |
2- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2576k |
Isogeny class |
Conductor |
2576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
212344832 = 213 · 72 · 232 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ -6 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-224,1012] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:40:1] [-12:46:1] |
Generators of the group modulo torsion |
j |
304821217/51842 |
j-invariant |
L |
2.6640663403779 |
L(r)(E,1)/r! |
Ω |
1.6953904517093 |
Real period |
R |
0.39283964612559 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
322c2 10304s2 23184bq2 64400by2 |
Quadratic twists by: -4 8 -3 5 |