Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408cd |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-5158453248 = -1 · 214 · 34 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 2 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-593,-6351] |
[a1,a2,a3,a4,a6] |
Generators |
[31:64:1] |
Generators of the group modulo torsion |
j |
-1409938000/314847 |
j-invariant |
L |
5.9638191882059 |
L(r)(E,1)/r! |
Ω |
0.47797852724914 |
Real period |
R |
3.1192924201579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408z1 14352o1 |
Quadratic twists by: -4 8 |