Atkin-Lehner |
2+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
44096h |
Isogeny class |
Conductor |
44096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14848 |
Modular degree for the optimal curve |
Δ |
-1174011904 = -1 · 217 · 132 · 53 |
Discriminant |
Eigenvalues |
2+ 0 3 2 -5 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,244,752] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:16:1] |
Generators of the group modulo torsion |
j |
12256974/8957 |
j-invariant |
L |
7.1577742280283 |
L(r)(E,1)/r! |
Ω |
0.98136982199122 |
Real period |
R |
0.91170704300623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44096r1 5512a1 |
Quadratic twists by: -4 8 |