Atkin-Lehner |
2- 3+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43050bq |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
282408000000000 = 212 · 3 · 59 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-89263,-10270219] |
[a1,a2,a3,a4,a6] |
j |
40272483611933/144592896 |
j-invariant |
L |
3.3151766557618 |
L(r)(E,1)/r! |
Ω |
0.27626472130153 |
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 |
129150bx1 43050ba1 |
Quadratic twists by: -3 5 |