Atkin-Lehner |
2- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
112832bc |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-112832 = -1 · 26 · 41 · 43 |
Discriminant |
Eigenvalues |
2- -1 0 -3 -2 -6 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7,-17] |
[a1,a2,a3,a4,a6] |
Generators |
[2:1:1] |
Generators of the group modulo torsion |
j |
512000/1763 |
j-invariant |
L |
2.2843832507247 |
L(r)(E,1)/r! |
Ω |
1.6973944401621 |
Real period |
R |
1.3458175954372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997669275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112832c1 28208d1 |
Quadratic twists by: -4 8 |