Atkin-Lehner |
3- 5+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
19065j |
Isogeny class |
Conductor |
19065 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
11040 |
Modular degree for the optimal curve |
Δ |
1442171925 = 33 · 52 · 31 · 413 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 0 5 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-381,2081] |
[a1,a2,a3,a4,a6] |
j |
6132506558464/1442171925 |
j-invariant |
L |
2.8489613261425 |
L(r)(E,1)/r! |
Ω |
1.4244806630712 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
57195u1 95325j1 |
Quadratic twists by: -3 5 |