Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9438f |
Isogeny class |
Conductor |
9438 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-1.0802469238278E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 11- 13+ 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-69214,-158316044] |
[a1,a2,a3,a4,a6] |
j |
-20699471212993/6097712265216 |
j-invariant |
L |
0.81522736862748 |
L(r)(E,1)/r! |
Ω |
0.10190342107844 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75504cr1 28314bv1 858f1 122694cr1 |
Quadratic twists by: -4 -3 -11 13 |