Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240ce |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-8900621107200 = -1 · 218 · 310 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5172,10352] |
[a1,a2,a3,a4,a6] |
Generators |
[52:648:1] |
Generators of the group modulo torsion |
j |
80062991/46575 |
j-invariant |
L |
6.2376946276225 |
L(r)(E,1)/r! |
Ω |
0.44126743588944 |
Real period |
R |
1.7669824805432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240eq1 1035f1 22080q1 |
Quadratic twists by: -4 8 -3 |