Atkin-Lehner |
2- 3- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44286bh |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-108620611346793744 = -1 · 24 · 32 · 114 · 616 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 11- 1 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,118759,1825737] |
[a1,a2,a3,a4,a6] |
j |
12651800611064351/7418933907984 |
j-invariant |
L |
3.2414680161181 |
L(r)(E,1)/r! |
Ω |
0.2025917510179 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44286s1 |
Quadratic twists by: -11 |