Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488dj |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-516908550442176 = -1 · 26 · 39 · 177 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -5 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19845,-190269] |
[a1,a2,a3,a4,a6] |
Generators |
[810:23409:1] |
Generators of the group modulo torsion |
j |
559476224/334611 |
j-invariant |
L |
8.7380792416019 |
L(r)(E,1)/r! |
Ω |
0.30425853163186 |
Real period |
R |
0.79775716419851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488ch1 27744p1 3264r1 |
Quadratic twists by: -4 8 17 |