Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240bn |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-9477513216000 = -1 · 216 · 37 · 53 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -6 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2292,-141968] |
[a1,a2,a3,a4,a6] |
j |
27871484/198375 |
j-invariant |
L |
2.9000400366665 |
L(r)(E,1)/r! |
Ω |
0.36250500516899 |
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 |
66240fg1 8280w1 22080bs1 |
Quadratic twists by: -4 8 -3 |