Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45084p |
Isogeny class |
Conductor |
45084 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
45185529168 = 24 · 32 · 13 · 176 |
Discriminant |
Eigenvalues |
2- 3- 4 2 4 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1541,20412] |
[a1,a2,a3,a4,a6] |
j |
1048576/117 |
j-invariant |
L |
6.6041097959266 |
L(r)(E,1)/r! |
Ω |
1.1006849660377 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
156a1 |
Quadratic twists by: 17 |