Atkin-Lehner |
2- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
19550bj |
Isogeny class |
Conductor |
19550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-391000000 = -1 · 26 · 56 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 0 6 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,137,781] |
[a1,a2,a3,a4,a6] |
j |
18191447/25024 |
j-invariant |
L |
6.8423342248529 |
L(r)(E,1)/r! |
Ω |
1.1403890374755 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
782a1 |
Quadratic twists by: 5 |