Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
64080q |
Isogeny class |
Conductor |
64080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
47895258009600 = 212 · 310 · 52 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21603,-1175902] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:110:1] |
Generators of the group modulo torsion |
j |
373403541601/16040025 |
j-invariant |
L |
5.8423645239387 |
L(r)(E,1)/r! |
Ω |
0.39484089055803 |
Real period |
R |
3.6991891311917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000564 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4005c2 21360j2 |
Quadratic twists by: -4 -3 |