Atkin-Lehner |
2+ 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592z |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
4711580172288 = 220 · 35 · 11 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5313,104607] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:384:1] [-39:504:1] |
Generators of the group modulo torsion |
j |
63282696625/17973252 |
j-invariant |
L |
12.33533104189 |
L(r)(E,1)/r! |
Ω |
0.71837934314807 |
Real period |
R |
1.7171054763019 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592cg1 2706l1 |
Quadratic twists by: -4 8 |