Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520ej |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
27709931520 = 218 · 36 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1548,22032] |
[a1,a2,a3,a4,a6] |
Generators |
[12:72:1] |
Generators of the group modulo torsion |
j |
2146689/145 |
j-invariant |
L |
7.3971334571729 |
L(r)(E,1)/r! |
Ω |
1.1617887184142 |
Real period |
R |
1.5917553135724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999991937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520ba1 20880cn1 9280r1 |
Quadratic twists by: -4 8 -3 |