Atkin-Lehner |
2- 3- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96624bg |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12768 |
Modular degree for the optimal curve |
Δ |
-7826544 = -1 · 24 · 36 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 11+ 4 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9,135] |
[a1,a2,a3,a4,a6] |
Generators |
[66:305:27] |
Generators of the group modulo torsion |
j |
-6912/671 |
j-invariant |
L |
8.2884879017809 |
L(r)(E,1)/r! |
Ω |
1.923271545239 |
Real period |
R |
4.3095775700157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999871742 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24156f1 10736i1 |
Quadratic twists by: -4 -3 |