Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
85440bi |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
105119907840 = 215 · 34 · 5 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1281,7839] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:108:1] |
Generators of the group modulo torsion |
j |
7100029448/3208005 |
j-invariant |
L |
7.127016311653 |
L(r)(E,1)/r! |
Ω |
0.95065296308077 |
Real period |
R |
1.874242385474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000354 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440y2 42720h2 |
Quadratic twists by: -4 8 |