Atkin-Lehner |
5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19855a |
Isogeny class |
Conductor |
19855 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10275055639805 = 5 · 112 · 198 |
Discriminant |
Eigenvalues |
1 2 5+ -2 11+ -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11198,-433933] |
[a1,a2,a3,a4,a6] |
j |
3301293169/218405 |
j-invariant |
L |
0.93205255290926 |
L(r)(E,1)/r! |
Ω |
0.46602627645463 |
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 |
99275c2 1045a2 |
Quadratic twists by: 5 -19 |