Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100m |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
101311230431250000 = 24 · 39 · 58 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-132300,10418625] |
[a1,a2,a3,a4,a6] |
Generators |
[-360:3375:1] |
Generators of the group modulo torsion |
j |
442368/175 |
j-invariant |
L |
6.6645383650234 |
L(r)(E,1)/r! |
Ω |
0.30554145424655 |
Real period |
R |
1.8176852579792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44100p1 8820f1 6300c1 |
Quadratic twists by: -3 5 -7 |