Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240el |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1373552640 = -1 · 214 · 36 · 5 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -6 -6 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-288,-2592] |
[a1,a2,a3,a4,a6] |
Generators |
[81:711:1] |
Generators of the group modulo torsion |
j |
-221184/115 |
j-invariant |
L |
3.865529271707 |
L(r)(E,1)/r! |
Ω |
0.56561570061478 |
Real period |
R |
3.4170986300486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66240bx1 16560bu1 7360z1 |
Quadratic twists by: -4 8 -3 |