Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
13818bj |
Isogeny class |
Conductor |
13818 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1834556387328 = -1 · 212 · 34 · 76 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2841,29385] |
[a1,a2,a3,a4,a6] |
Generators |
[18:285:1] |
Generators of the group modulo torsion |
j |
21554582687/15593472 |
j-invariant |
L |
7.5071993794038 |
L(r)(E,1)/r! |
Ω |
0.53096555850407 |
Real period |
R |
0.29455768752977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110544cd1 41454p1 282a1 |
Quadratic twists by: -4 -3 -7 |