Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100dl |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
1543790178000 = 24 · 38 · 53 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5880,162925] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:580:1] |
Generators of the group modulo torsion |
j |
131072/9 |
j-invariant |
L |
6.407462709072 |
L(r)(E,1)/r! |
Ω |
0.83074611621567 |
Real period |
R |
3.8564505954348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700bv1 44100dk1 900h1 |
Quadratic twists by: -3 5 -7 |