Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536bb |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4565469218881536 = 214 · 38 · 76 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-148657,21770735] |
[a1,a2,a3,a4,a6] |
j |
22174957026242512/278654127129 |
j-invariant |
L |
3.4931136904657 |
L(r)(E,1)/r! |
Ω |
0.4366392113082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25536cm2 3192c2 76608bk2 |
Quadratic twists by: -4 8 -3 |