Atkin-Lehner |
2+ 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592f |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-3030027264 = -1 · 210 · 38 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -1 11+ 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-461,4797] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:52:1] [-4:81:1] |
Generators of the group modulo torsion |
j |
-10603964416/2959011 |
j-invariant |
L |
8.7782658269065 |
L(r)(E,1)/r! |
Ω |
1.3514413807295 |
Real period |
R |
1.6238709928616 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86592dm1 10824k1 |
Quadratic twists by: -4 8 |