Atkin-Lehner |
2+ 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
112832o |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-1805312 = -1 · 210 · 41 · 43 |
Discriminant |
Eigenvalues |
2+ -1 0 -1 2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53,181] |
[a1,a2,a3,a4,a6] |
Generators |
[5:4:1] |
Generators of the group modulo torsion |
j |
-16384000/1763 |
j-invariant |
L |
4.982949891604 |
L(r)(E,1)/r! |
Ω |
2.5745372243519 |
Real period |
R |
0.96773701027514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999577182 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112832bi1 7052a1 |
Quadratic twists by: -4 8 |