Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9438k |
Isogeny class |
Conductor |
9438 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
430848 |
Modular degree for the optimal curve |
Δ |
-2.6360733028642E+19 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 11+ 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-631865,-313730980] |
[a1,a2,a3,a4,a6] |
Generators |
[978:1507:1] |
Generators of the group modulo torsion |
j |
-11832089797403/11179524096 |
j-invariant |
L |
3.5881398456291 |
L(r)(E,1)/r! |
Ω |
0.081510831734976 |
Real period |
R |
2.7512753284248 |
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 |
75504bc1 28314bo1 9438y1 122694cw1 |
Quadratic twists by: -4 -3 -11 13 |