Atkin-Lehner |
2+ 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
43550n |
Isogeny class |
Conductor |
43550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
18841472000 = 210 · 53 · 133 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5- -3 0 13- 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-696,2438] |
[a1,a2,a3,a4,a6] |
Generators |
[41:187:1] [-23:91:1] |
Generators of the group modulo torsion |
j |
297676210733/150731776 |
j-invariant |
L |
4.6281979069477 |
L(r)(E,1)/r! |
Ω |
1.0805709041715 |
Real period |
R |
0.35692535994006 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43550y1 |
Quadratic twists by: 5 |