Atkin-Lehner |
2- 3+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
8496k |
Isogeny class |
Conductor |
8496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4490298851328 = 216 · 39 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 -4 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37395,-2781486] |
[a1,a2,a3,a4,a6] |
Generators |
[-38255:14806:343] |
Generators of the group modulo torsion |
j |
71732023875/55696 |
j-invariant |
L |
4.7254270952319 |
L(r)(E,1)/r! |
Ω |
0.34333368324178 |
Real period |
R |
6.8816829310396 |
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 |
1062a2 33984ba2 8496j2 |
Quadratic twists by: -4 8 -3 |