Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280bs |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
2113536000000 = 220 · 3 · 56 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5505,138975] |
[a1,a2,a3,a4,a6] |
j |
70393838689/8062500 |
j-invariant |
L |
4.7895735346279 |
L(r)(E,1)/r! |
Ω |
0.79826225577566 |
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 |
41280ci1 1290j1 123840by1 |
Quadratic twists by: -4 8 -3 |