Atkin-Lehner |
2+ 3+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
44286i |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-5251611024 = -1 · 24 · 36 · 112 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 11- -1 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,9,-3483] |
[a1,a2,a3,a4,a6] |
Generators |
[18:45:1] |
Generators of the group modulo torsion |
j |
557183/43401744 |
j-invariant |
L |
5.1960905603751 |
L(r)(E,1)/r! |
Ω |
0.62604113983772 |
Real period |
R |
1.0374898368736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44286bc1 |
Quadratic twists by: -11 |