Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
55470g |
Isogeny class |
Conductor |
55470 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1040256 |
Modular degree for the optimal curve |
Δ |
-1704139600474225800 = -1 · 23 · 36 · 52 · 438 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -3 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,286556,21442826] |
[a1,a2,a3,a4,a6] |
j |
222641831/145800 |
j-invariant |
L |
0.66493100455092 |
L(r)(E,1)/r! |
Ω |
0.16623275179934 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
55470bb1 |
Quadratic twists by: -43 |