Atkin-Lehner |
3- 5+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
86775p |
Isogeny class |
Conductor |
86775 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-82490484375 = -1 · 33 · 56 · 133 · 89 |
Discriminant |
Eigenvalues |
-1 3- 5+ 1 -1 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-313,-14008] |
[a1,a2,a3,a4,a6] |
Generators |
[31:64:1] |
Generators of the group modulo torsion |
j |
-217081801/5279391 |
j-invariant |
L |
5.4503773891881 |
L(r)(E,1)/r! |
Ω |
0.46811773698244 |
Real period |
R |
3.881058802481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3471c1 |
Quadratic twists by: 5 |