Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672br |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5.6349844619157E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 2 2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3798444,-4600342240] |
[a1,a2,a3,a4,a6] |
Generators |
[386343897219197124201988:43859225585340816120041580:29264553539426362591] |
Generators of the group modulo torsion |
j |
-420526439488/390971529 |
j-invariant |
L |
7.8467785826182 |
L(r)(E,1)/r! |
Ω |
0.05207860301648 |
Real period |
R |
37.667958278968 |
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 |
48672q2 97344ce1 16224d2 3744d2 |
Quadratic twists by: -4 8 -3 13 |