Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408cz |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
32 |
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 |
[-1:48:1] |
Generators of the group modulo torsion |
j |
253012016/314847 |
j-invariant |
L |
6.7490729793136 |
L(r)(E,1)/r! |
Ω |
0.91331702435825 |
Real period |
R |
0.92370348947592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000198 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408r2 14352g2 |
Quadratic twists by: -4 8 |