Atkin-Lehner |
5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19855a |
Isogeny class |
Conductor |
19855 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
245814728225 = 52 · 11 · 197 |
Discriminant |
Eigenvalues |
1 2 5+ -2 11+ -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2173,29952] |
[a1,a2,a3,a4,a6] |
j |
24137569/5225 |
j-invariant |
L |
0.93205255290926 |
L(r)(E,1)/r! |
Ω |
0.93205255290926 |
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 |
99275c1 1045a1 |
Quadratic twists by: 5 -19 |