Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600dg |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1539459072000000 = -1 · 217 · 32 · 56 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,28767,201663] |
[a1,a2,a3,a4,a6] |
j |
1285471294/751689 |
j-invariant |
L |
4.6136403927052 |
L(r)(E,1)/r! |
Ω |
0.28835252814518 |
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 |
81600fx3 10200c4 3264i4 |
Quadratic twists by: -4 8 5 |