Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688f |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
96137115648 = 211 · 3 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-834192,-292978272] |
[a1,a2,a3,a4,a6] |
j |
266442869452034/399 |
j-invariant |
L |
1.263784408716 |
L(r)(E,1)/r! |
Ω |
0.1579730510886 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22344bi4 6384i3 |
Quadratic twists by: -4 -7 |