Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760bo |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6024761242214400 = -1 · 213 · 36 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,43104,-1457280] |
[a1,a2,a3,a4,a6] |
Generators |
[168:3240:1] |
Generators of the group modulo torsion |
j |
53582633/36450 |
j-invariant |
L |
3.3398381170901 |
L(r)(E,1)/r! |
Ω |
0.24105323261963 |
Real period |
R |
1.7318986354148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1470o2 47040gv2 35280fj2 58800il2 |
Quadratic twists by: -4 8 -3 5 |