Atkin-Lehner |
2- 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536y |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6656618496 = 212 · 3 · 114 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9512,360240] |
[a1,a2,a3,a4,a6] |
j |
23239401850153/1625151 |
j-invariant |
L |
2.535267556049 |
L(r)(E,1)/r! |
Ω |
1.2676337780245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1221a3 78144cu4 58608bh4 |
Quadratic twists by: -4 8 -3 |