Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080dz |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3212441026560000 = -1 · 222 · 36 · 54 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36852,147472] |
[a1,a2,a3,a4,a6] |
Generators |
[18077:2430603:1] |
Generators of the group modulo torsion |
j |
28962726911/16810000 |
j-invariant |
L |
7.3860642212743 |
L(r)(E,1)/r! |
Ω |
0.26948997631346 |
Real period |
R |
6.8518914762857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999115737 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080y2 29520bx2 13120bn2 |
Quadratic twists by: -4 8 -3 |