Atkin-Lehner |
2- 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
45120ci |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-177419059200 = -1 · 224 · 32 · 52 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1055,-15743] |
[a1,a2,a3,a4,a6] |
j |
494913671/676800 |
j-invariant |
L |
2.1594900447293 |
L(r)(E,1)/r! |
Ω |
0.5398725111068 |
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 |
45120bk1 11280v1 |
Quadratic twists by: -4 8 |