Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9438y |
Isogeny class |
Conductor |
9438 |
Conductor |
∏ cp |
272 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-14879946571776 = -1 · 217 · 38 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 11+ 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5222,235236] |
[a1,a2,a3,a4,a6] |
Generators |
[76:490:1] |
Generators of the group modulo torsion |
j |
-11832089797403/11179524096 |
j-invariant |
L |
5.9895678783224 |
L(r)(E,1)/r! |
Ω |
0.63975565866719 |
Real period |
R |
0.034420125625409 |
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 |
75504ba1 28314l1 9438k1 122694bc1 |
Quadratic twists by: -4 -3 -11 13 |