Atkin-Lehner |
2- 3- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730ck |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
600 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-162544905476100000 = -1 · 25 · 34 · 55 · 78 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-37780,19599152] |
[a1,a2,a3,a4,a6] |
Generators |
[1964:-87712:1] |
Generators of the group modulo torsion |
j |
-1034489224321/28196100000 |
j-invariant |
L |
13.602753372716 |
L(r)(E,1)/r! |
Ω |
0.27029838656215 |
Real period |
R |
0.083874920256034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86730bw1 |
Quadratic twists by: -7 |