Atkin-Lehner |
2- 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
23064k |
Isogeny class |
Conductor |
23064 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
892800 |
Modular degree for the optimal curve |
Δ |
-3.1329418694079E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,675263,-2684279437] |
[a1,a2,a3,a4,a6] |
Generators |
[3197:179334:1] |
Generators of the group modulo torsion |
j |
155958272/14348907 |
j-invariant |
L |
7.1525120932131 |
L(r)(E,1)/r! |
Ω |
0.067446276062911 |
Real period |
R |
3.5349182147786 |
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 |
46128a1 69192e1 23064i1 |
Quadratic twists by: -4 -3 -31 |