Atkin-Lehner |
2- 3+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
44676b |
Isogeny class |
Conductor |
44676 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
42142692096 = 28 · 33 · 174 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-879,1750] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:90:1] |
Generators of the group modulo torsion |
j |
10866423024/6097033 |
j-invariant |
L |
6.6811477465027 |
L(r)(E,1)/r! |
Ω |
0.98758559390688 |
Real period |
R |
2.2550442843385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44676j2 |
Quadratic twists by: -3 |