Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488ft |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8924442644394934272 = -1 · 217 · 314 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 11+ 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1563361,-765464447] |
[a1,a2,a3,a4,a6] |
Generators |
[16553915691:2621290933360:658503] |
Generators of the group modulo torsion |
j |
-27403349188178/578739249 |
j-invariant |
L |
8.6233440662305 |
L(r)(E,1)/r! |
Ω |
0.067423549251129 |
Real period |
R |
15.987262888272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014293 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488el2 25872bb2 2112z2 |
Quadratic twists by: -4 8 -7 |