Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536ch |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
32 |
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 |
[-75:1008:1] |
Generators of the group modulo torsion |
j |
1823652903746/328593657 |
j-invariant |
L |
3.8924016901867 |
L(r)(E,1)/r! |
Ω |
0.61093071732221 |
Real period |
R |
3.1856326583541 |
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 |
25536bj4 6384p3 76608ey4 |
Quadratic twists by: -4 8 -3 |