Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600iw |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-191766528000000 = -1 · 219 · 34 · 56 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11967,-431937] |
[a1,a2,a3,a4,a6] |
j |
46268279/46818 |
j-invariant |
L |
2.4638665528091 |
L(r)(E,1)/r! |
Ω |
0.30798332320217 |
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 |
81600bb2 20400ch2 3264t2 |
Quadratic twists by: -4 8 5 |