Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536bj |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
43069427810304 = 217 · 3 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12929,-473889] |
[a1,a2,a3,a4,a6] |
Generators |
[1482:15015:8] |
Generators of the group modulo torsion |
j |
1823652903746/328593657 |
j-invariant |
L |
6.2577799389972 |
L(r)(E,1)/r! |
Ω |
0.453265021958 |
Real period |
R |
6.9030033598942 |
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 |
25536ch4 3192j3 76608bv4 |
Quadratic twists by: -4 8 -3 |