Atkin-Lehner |
2- 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592bx |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
2226957815808 = 212 · 35 · 113 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-431353,-108899207] |
[a1,a2,a3,a4,a6] |
Generators |
[-9383367040685:-118289347416:24769410875] |
Generators of the group modulo torsion |
j |
2167021596455416000/543690873 |
j-invariant |
L |
6.6364068559212 |
L(r)(E,1)/r! |
Ω |
0.18629074161052 |
Real period |
R |
17.811961000492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592dl1 43296q1 |
Quadratic twists by: -4 8 |