Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536bb |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1396030898329288704 = -1 · 216 · 34 · 712 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25537,56859935] |
[a1,a2,a3,a4,a6] |
j |
-28104147578308/21301741002339 |
j-invariant |
L |
3.4931136904657 |
L(r)(E,1)/r! |
Ω |
0.2183196056541 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536cm3 3192c4 76608bk3 |
Quadratic twists by: -4 8 -3 |