Atkin-Lehner |
2+ 3- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
44856b |
Isogeny class |
Conductor |
44856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-25786570392576 = -1 · 210 · 36 · 72 · 893 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -2 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1773,242622] |
[a1,a2,a3,a4,a6] |
j |
825700284/34543481 |
j-invariant |
L |
2.02927214015 |
L(r)(E,1)/r! |
Ω |
0.50731803502129 |
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 |
89712d1 4984d1 |
Quadratic twists by: -4 -3 |