Atkin-Lehner |
2- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
112832bf |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-74017792 = -1 · 210 · 412 · 43 |
Discriminant |
Eigenvalues |
2- 2 2 2 0 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3,413] |
[a1,a2,a3,a4,a6] |
Generators |
[-40359:724960:35937] |
Generators of the group modulo torsion |
j |
2048/72283 |
j-invariant |
L |
13.453661143457 |
L(r)(E,1)/r! |
Ω |
1.5333057492364 |
Real period |
R |
8.7742846375894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112832f1 28208b1 |
Quadratic twists by: -4 8 |