Atkin-Lehner |
2- 3+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83904u |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
999318009535266816 = 229 · 33 · 194 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 6 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18863297,-31527346335] |
[a1,a2,a3,a4,a6] |
j |
2831630759285559312817/3812095678464 |
j-invariant |
L |
4.6363387049223 |
L(r)(E,1)/r! |
Ω |
0.072442793194536 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83904q2 20976k2 |
Quadratic twists by: -4 8 |