Atkin-Lehner |
2- 3- 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
47430be |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-1.7939962531097E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 1 5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-686858,-299050279] |
[a1,a2,a3,a4,a6] |
j |
-49158256787653106521/24609002100270480 |
j-invariant |
L |
3.2398581378982 |
L(r)(E,1)/r! |
Ω |
0.080996453451787 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15810j1 |
Quadratic twists by: -3 |