Atkin-Lehner |
2+ 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
43550m |
Isogeny class |
Conductor |
43550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
145800 |
Modular degree for the optimal curve |
Δ |
-680468750 = -1 · 2 · 58 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ 1 5- 5 6 13- -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31701,2169798] |
[a1,a2,a3,a4,a6] |
j |
-9019093108585/1742 |
j-invariant |
L |
3.8211426950527 |
L(r)(E,1)/r! |
Ω |
1.2737142316846 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
43550o1 |
Quadratic twists by: 5 |