Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8112ba |
Isogeny class |
Conductor |
8112 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
-3310885933056 = -1 · 212 · 314 · 132 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -2 13+ -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1200,88596] |
[a1,a2,a3,a4,a6] |
Generators |
[60:-486:1] |
Generators of the group modulo torsion |
j |
-276301129/4782969 |
j-invariant |
L |
5.5703619296183 |
L(r)(E,1)/r! |
Ω |
0.67028653961255 |
Real period |
R |
0.29680067512823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
507b2 32448cc2 24336bm2 8112bd2 |
Quadratic twists by: -4 8 -3 13 |