Atkin-Lehner |
2- 3- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44286bi |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-1224419328 = -1 · 211 · 34 · 112 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 11- -2 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-349,2993] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-49:1] [-14:79:1] |
Generators of the group modulo torsion |
j |
-38859069337/10119168 |
j-invariant |
L |
13.139687626641 |
L(r)(E,1)/r! |
Ω |
1.4604694645517 |
Real period |
R |
0.20447484284343 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44286u1 |
Quadratic twists by: -11 |