Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488ch |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
4 |
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] |
j |
559476224/334611 |
j-invariant |
L |
1.2766548194592 |
L(r)(E,1)/r! |
Ω |
0.31916370480207 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488dj1 27744x1 3264y1 |
Quadratic twists by: -4 8 17 |