Atkin-Lehner |
2- 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
87840x |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-585923544000 = -1 · 26 · 39 · 53 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27,36828] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:190:1] [21:216:1] |
Generators of the group modulo torsion |
j |
1728/465125 |
j-invariant |
L |
9.2140964898541 |
L(r)(E,1)/r! |
Ω |
0.72745932491711 |
Real period |
R |
6.3330664511224 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994321 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87840a1 87840d1 |
Quadratic twists by: -4 -3 |