Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240cy |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-213244047360 = -1 · 212 · 39 · 5 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 6 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1068,17696] |
[a1,a2,a3,a4,a6] |
j |
45118016/71415 |
j-invariant |
L |
2.7227860357024 |
L(r)(E,1)/r! |
Ω |
0.6806965088245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240ci1 33120k1 22080e1 |
Quadratic twists by: -4 8 -3 |