Atkin-Lehner |
2- 3- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40896bu |
Isogeny class |
Conductor |
40896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-20352466944 = -1 · 217 · 37 · 71 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 3 2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-876,12112] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:144:1] |
Generators of the group modulo torsion |
j |
-778034/213 |
j-invariant |
L |
7.5938514188386 |
L(r)(E,1)/r! |
Ω |
1.1537637054053 |
Real period |
R |
0.82272602518864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40896bd1 10224c1 13632v1 |
Quadratic twists by: -4 8 -3 |