Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
9768p |
Isogeny class |
Conductor |
9768 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-261863502356016 = -1 · 24 · 38 · 113 · 374 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36519,2784546] |
[a1,a2,a3,a4,a6] |
j |
-336645064644892672/16366468897251 |
j-invariant |
L |
2.1850864508028 |
L(r)(E,1)/r! |
Ω |
0.54627161270071 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19536g1 78144q1 29304e1 107448j1 |
Quadratic twists by: -4 8 -3 -11 |