Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6072j |
Isogeny class |
Conductor |
6072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-13406976 = -1 · 28 · 32 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11+ 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,36,-144] |
[a1,a2,a3,a4,a6] |
Generators |
[6:18:1] |
Generators of the group modulo torsion |
j |
19600688/52371 |
j-invariant |
L |
4.4542978413618 |
L(r)(E,1)/r! |
Ω |
1.1513308017489 |
Real period |
R |
0.96720634820935 |
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 |
12144e2 48576s2 18216c2 66792n2 |
Quadratic twists by: -4 8 -3 -11 |