Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536bg |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1916698447577088 = 218 · 310 · 73 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 2 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-123233,16476159] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:5472:1] |
Generators of the group modulo torsion |
j |
789529529265625/7311624327 |
j-invariant |
L |
6.7402743677796 |
L(r)(E,1)/r! |
Ω |
0.46999559603082 |
Real period |
R |
0.71705718358875 |
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 |
25536ce2 399a2 76608br2 |
Quadratic twists by: -4 8 -3 |