Atkin-Lehner |
2+ 3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
44286t |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-2738804961024 = -1 · 28 · 32 · 117 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-245,79616] |
[a1,a2,a3,a4,a6] |
j |
-912673/1545984 |
j-invariant |
L |
2.6000758161742 |
L(r)(E,1)/r! |
Ω |
0.6500189540228 |
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 |
4026j1 |
Quadratic twists by: -11 |