Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54288bf |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-74086182144 = -1 · 28 · 310 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1041,2090] |
[a1,a2,a3,a4,a6] |
Generators |
[570:4940:27] |
Generators of the group modulo torsion |
j |
668510768/396981 |
j-invariant |
L |
6.3114522111553 |
L(r)(E,1)/r! |
Ω |
0.665446298273 |
Real period |
R |
4.7422701332365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13572a2 18096s2 |
Quadratic twists by: -4 -3 |