Atkin-Lehner |
2+ 3- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730y |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
7701919321320 = 23 · 318 · 5 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 -1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10584,-394632] |
[a1,a2,a3,a4,a6] |
Generators |
[-498:1383:8] |
Generators of the group modulo torsion |
j |
179874151486849/10565047080 |
j-invariant |
L |
4.1908544375789 |
L(r)(E,1)/r! |
Ω |
0.47241752806881 |
Real period |
R |
4.4355407966195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910be1 |
Quadratic twists by: -3 |