Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39762j |
Isogeny class |
Conductor |
39762 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
847872 |
Modular degree for the optimal curve |
Δ |
-1.2253425107034E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1152684,-238506800] |
[a1,a2,a3,a4,a6] |
Generators |
[318331976:13606611644:389017] |
Generators of the group modulo torsion |
j |
21554582687/15593472 |
j-invariant |
L |
4.878208878595 |
L(r)(E,1)/r! |
Ω |
0.10453402356004 |
Real period |
R |
11.666557720783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13254i1 846c1 |
Quadratic twists by: -3 -47 |