Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100cn |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-28367144520750000 = -1 · 24 · 39 · 56 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,73500,-2615375] |
[a1,a2,a3,a4,a6] |
j |
2048000/1323 |
j-invariant |
L |
2.5650367519741 |
L(r)(E,1)/r! |
Ω |
0.21375306266151 |
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 |
14700bn1 1764f1 6300j1 |
Quadratic twists by: -3 5 -7 |