Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44460g |
Isogeny class |
Conductor |
44460 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
481536 |
Modular degree for the optimal curve |
Δ |
-1154653987500000000 = -1 · 28 · 39 · 511 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 1 13+ -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,239352,-25324972] |
[a1,a2,a3,a4,a6] |
Generators |
[38788:1184175:64] |
Generators of the group modulo torsion |
j |
8125823797796864/6187060546875 |
j-invariant |
L |
4.3051692683105 |
L(r)(E,1)/r! |
Ω |
0.15321765454159 |
Real period |
R |
7.024597265236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14820c1 |
Quadratic twists by: -3 |