Atkin-Lehner |
2+ 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9594f |
Isogeny class |
Conductor |
9594 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
20689883136 = 212 · 36 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1491,-20683] |
[a1,a2,a3,a4,a6] |
j |
503028912177/28381184 |
j-invariant |
L |
1.541956756162 |
L(r)(E,1)/r! |
Ω |
0.77097837808101 |
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 |
76752bq1 1066e1 124722bu1 |
Quadratic twists by: -4 -3 13 |