Atkin-Lehner |
2- 5+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
44650r |
Isogeny class |
Conductor |
44650 |
Conductor |
∏ cp |
92 |
Product of Tamagawa factors cp |
deg |
4265856 |
Modular degree for the optimal curve |
Δ |
3.30109952E+21 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 -1 -7 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17536438,28128771492] |
[a1,a2,a3,a4,a6] |
Generators |
[4492:197754:1] |
Generators of the group modulo torsion |
j |
38170499223892336150681/211270369280000000 |
j-invariant |
L |
6.1315354443017 |
L(r)(E,1)/r! |
Ω |
0.14212657613135 |
Real period |
R |
0.46892795287485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8930b1 |
Quadratic twists by: 5 |