Atkin-Lehner |
3- 11+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
86229g |
Isogeny class |
Conductor |
86229 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
282182764149 = 38 · 11 · 13 · 673 |
Discriminant |
Eigenvalues |
-2 3- -3 0 11+ 13- -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6249,188410] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:614:1] [194:1805:8] |
Generators of the group modulo torsion |
j |
37019262103552/387081981 |
j-invariant |
L |
4.5316626430256 |
L(r)(E,1)/r! |
Ω |
0.98004084274584 |
Real period |
R |
0.77065880746222 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000479 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28743e1 |
Quadratic twists by: -3 |