Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672bu |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.2446751303764E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-158691,171475850] |
[a1,a2,a3,a4,a6] |
Generators |
[12905199606:-389729450825:14886936] |
Generators of the group modulo torsion |
j |
-245314376/6908733 |
j-invariant |
L |
5.8643325681991 |
L(r)(E,1)/r! |
Ω |
0.18819236766066 |
Real period |
R |
15.580686510134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999928 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48672s2 97344bq3 16224c4 3744h4 |
Quadratic twists by: -4 8 -3 13 |