Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25992t |
Isogeny class |
Conductor |
25992 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4504083824316672 = 28 · 39 · 197 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 6 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-984447,-375941790] |
[a1,a2,a3,a4,a6] |
Generators |
[1729:55594:1] |
Generators of the group modulo torsion |
j |
445090032/19 |
j-invariant |
L |
3.8734044095974 |
L(r)(E,1)/r! |
Ω |
0.15156627670368 |
Real period |
R |
3.1944807362806 |
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 |
51984h2 25992d2 1368a2 |
Quadratic twists by: -4 -3 -19 |