Atkin-Lehner |
2- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19942h |
Isogeny class |
Conductor |
19942 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
129168 |
Modular degree for the optimal curve |
Δ |
385024900312 = 23 · 138 · 59 |
Discriminant |
Eigenvalues |
2- 3 -4 4 6 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4257,103705] |
[a1,a2,a3,a4,a6] |
j |
10456641/472 |
j-invariant |
L |
8.4654881930609 |
L(r)(E,1)/r! |
Ω |
0.94060979922899 |
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 |
19942e1 |
Quadratic twists by: 13 |