Atkin-Lehner |
2- 3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
44730cf |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
9434880 |
Modular degree for the optimal curve |
Δ |
-7.2151927073751E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-634591967,-6152884628281] |
[a1,a2,a3,a4,a6] |
Generators |
[37563:4778038:1] |
Generators of the group modulo torsion |
j |
-38768579986086622574716800169/98973836863856640 |
j-invariant |
L |
10.308670845147 |
L(r)(E,1)/r! |
Ω |
0.015039933515019 |
Real period |
R |
4.393717784747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910s1 |
Quadratic twists by: -3 |