Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898bn |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
11490336 |
Modular degree for the optimal curve |
Δ |
-7.7466676885191E+24 |
Discriminant |
Eigenvalues |
2- 2 1 2 11- 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-198785155,-1087120528031] |
[a1,a2,a3,a4,a6] |
Generators |
[42058259394559830971453729:-770643660259560422968517558:2558969065158001569611] |
Generators of the group modulo torsion |
j |
-29396833609/262144 |
j-invariant |
L |
14.427836508258 |
L(r)(E,1)/r! |
Ω |
0.020092894557846 |
Real period |
R |
39.892035981845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40898l1 40898m1 |
Quadratic twists by: -11 13 |