Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
64080u |
Isogeny class |
Conductor |
64080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
119588659200 = 213 · 38 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30758403,-65658927998] |
[a1,a2,a3,a4,a6] |
Generators |
[-3214503283941669:36518657450:1003905072197] |
Generators of the group modulo torsion |
j |
1077773706461706278401/40050 |
j-invariant |
L |
4.8282522760439 |
L(r)(E,1)/r! |
Ω |
0.064107465745291 |
Real period |
R |
18.828744124262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000315 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8010b3 21360p4 |
Quadratic twists by: -4 -3 |