Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100cn |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7567723777146750000 = -1 · 24 · 37 · 56 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1249500,-553644875] |
[a1,a2,a3,a4,a6] |
j |
-10061824000/352947 |
j-invariant |
L |
2.5650367519741 |
L(r)(E,1)/r! |
Ω |
0.071251020887171 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700bn3 1764f3 6300j3 |
Quadratic twists by: -3 5 -7 |