Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600dy |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
9055641600000000 = 219 · 32 · 58 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83848033,-295548327937] |
[a1,a2,a3,a4,a6] |
Generators |
[16666677:-2274890500:729] |
Generators of the group modulo torsion |
j |
15916310615119911121/2210850 |
j-invariant |
L |
6.9044376677204 |
L(r)(E,1)/r! |
Ω |
0.049891473947768 |
Real period |
R |
11.532427490316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999231 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600gm4 2550d4 16320b4 |
Quadratic twists by: -4 8 5 |