Atkin-Lehner |
2+ 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408r |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5158453248 = -1 · 214 · 34 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 -6 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,335,-2639] |
[a1,a2,a3,a4,a6] |
Generators |
[9:32:1] [16:81:1] |
Generators of the group modulo torsion |
j |
253012016/314847 |
j-invariant |
L |
5.4441928584946 |
L(r)(E,1)/r! |
Ω |
0.72933219410358 |
Real period |
R |
1.8661567741383 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408cz2 7176i2 |
Quadratic twists by: -4 8 |