Atkin-Lehner |
2- 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280ck |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-4565237760 = -1 · 218 · 34 · 5 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,95,-3263] |
[a1,a2,a3,a4,a6] |
j |
357911/17415 |
j-invariant |
L |
1.3180604820614 |
L(r)(E,1)/r! |
Ω |
0.65903024106566 |
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 |
41280bk1 10320bb1 123840fc1 |
Quadratic twists by: -4 8 -3 |