Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9438bc |
Isogeny class |
Conductor |
9438 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-33439985436 = -1 · 22 · 3 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-789,12189] |
[a1,a2,a3,a4,a6] |
j |
-30664297/18876 |
j-invariant |
L |
2.157415783929 |
L(r)(E,1)/r! |
Ω |
1.0787078919645 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75504bn1 28314r1 858c1 122694bj1 |
Quadratic twists by: -4 -3 -11 13 |