Atkin-Lehner |
2- 5- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
43550z |
Isogeny class |
Conductor |
43550 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
357120 |
Modular degree for the optimal curve |
Δ |
29878784000000000 = 218 · 59 · 13 · 672 |
Discriminant |
Eigenvalues |
2- 0 5- 4 -2 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-173305,-26451303] |
[a1,a2,a3,a4,a6] |
j |
294730174867149/15297937408 |
j-invariant |
L |
4.2254091964708 |
L(r)(E,1)/r! |
Ω |
0.23474495536484 |
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 |
43550k1 |
Quadratic twists by: 5 |