Atkin-Lehner |
2- 3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
32868i |
Isogeny class |
Conductor |
32868 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
-6.7935957585253E+21 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 11- 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5922984,-6819780764] |
[a1,a2,a3,a4,a6] |
Generators |
[2880:3146:1] |
Generators of the group modulo torsion |
j |
-123133974245307768832/36402583582633059 |
j-invariant |
L |
3.1953105197158 |
L(r)(E,1)/r! |
Ω |
0.047661361500921 |
Real period |
R |
3.7245526670883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
10956d2 |
Quadratic twists by: -3 |