Atkin-Lehner |
3- 11+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
86229f |
Isogeny class |
Conductor |
86229 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8543232 |
Modular degree for the optimal curve |
Δ |
2.0528502195669E+21 |
Discriminant |
Eigenvalues |
2 3- -1 -2 11+ 13+ -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-34301433,77293657597] |
[a1,a2,a3,a4,a6] |
Generators |
[433908050:900697091:125000] |
Generators of the group modulo torsion |
j |
6122558948210454490034176/2815981096799596869 |
j-invariant |
L |
9.534662248505 |
L(r)(E,1)/r! |
Ω |
0.14488172179654 |
Real period |
R |
10.968328890383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992539 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28743d1 |
Quadratic twists by: -3 |