Atkin-Lehner |
2- 3- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730cd |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
38212699218750000 = 24 · 39 · 512 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10308722,12742160321] |
[a1,a2,a3,a4,a6] |
Generators |
[1911:3319:1] |
Generators of the group modulo torsion |
j |
166192196667179593497049/52417968750000 |
j-invariant |
L |
9.6645886131079 |
L(r)(E,1)/r! |
Ω |
0.29336578118734 |
Real period |
R |
1.3726590421779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910n3 |
Quadratic twists by: -3 |