Atkin-Lehner |
3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
81585m |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-416328255 = -1 · 38 · 5 · 73 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,180,-365] |
[a1,a2,a3,a4,a6] |
Generators |
[18:83:1] |
Generators of the group modulo torsion |
j |
2571353/1665 |
j-invariant |
L |
6.2702839909246 |
L(r)(E,1)/r! |
Ω |
0.96050343633626 |
Real period |
R |
3.2640611955626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002273 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27195j1 81585u1 |
Quadratic twists by: -3 -7 |