Atkin-Lehner |
2- 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
9594n |
Isogeny class |
Conductor |
9594 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-42911057090304 = -1 · 28 · 33 · 133 · 414 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -4 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26759,1720703] |
[a1,a2,a3,a4,a6] |
Generators |
[57:586:1] |
Generators of the group modulo torsion |
j |
-78479164538849619/1589298410752 |
j-invariant |
L |
7.4586080923258 |
L(r)(E,1)/r! |
Ω |
0.64216533529238 |
Real period |
R |
0.72592365260283 |
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 |
76752bi1 9594d1 124722e1 |
Quadratic twists by: -4 -3 13 |