Atkin-Lehner |
2+ 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9594d |
Isogeny class |
Conductor |
9594 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-31282160618831616 = -1 · 28 · 39 · 133 · 414 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 4 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-240828,-46218160] |
[a1,a2,a3,a4,a6] |
Generators |
[232271618392:-1887410632884:390617891] |
Generators of the group modulo torsion |
j |
-78479164538849619/1589298410752 |
j-invariant |
L |
3.2002926669871 |
L(r)(E,1)/r! |
Ω |
0.10762710718916 |
Real period |
R |
14.867502948687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76752bb1 9594n1 124722bg1 |
Quadratic twists by: -4 -3 13 |