Atkin-Lehner |
5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19855b |
Isogeny class |
Conductor |
19855 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
142313790025 = 52 · 112 · 196 |
Discriminant |
Eigenvalues |
-1 0 5- 0 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1512,-13126] |
[a1,a2,a3,a4,a6] |
Generators |
[92:741:1] |
Generators of the group modulo torsion |
j |
8120601/3025 |
j-invariant |
L |
3.0928181643042 |
L(r)(E,1)/r! |
Ω |
0.78977442286823 |
Real period |
R |
3.9160779011709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99275b2 55a1 |
Quadratic twists by: 5 -19 |