Atkin-Lehner |
5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19855b |
Isogeny class |
Conductor |
19855 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3443993718605 = 5 · 114 · 196 |
Discriminant |
Eigenvalues |
-1 0 5- 0 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10537,409244] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:928:1] |
Generators of the group modulo torsion |
j |
2749884201/73205 |
j-invariant |
L |
3.0928181643042 |
L(r)(E,1)/r! |
Ω |
0.78977442286823 |
Real period |
R |
1.9580389505854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99275b3 55a2 |
Quadratic twists by: 5 -19 |