Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536cm |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
96 |
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 |
1.4599376266594 |
L(r)(E,1)/r! |
Ω |
0.24332293777656 |
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 |
25536bb2 6384n2 76608fu2 |
Quadratic twists by: -4 8 -3 |