Atkin-Lehner |
3+ 17- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66861d |
Isogeny class |
Conductor |
66861 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
49344 |
Modular degree for the optimal curve |
Δ |
1333275201 = 33 · 173 · 19 · 232 |
Discriminant |
Eigenvalues |
1 3+ 2 0 4 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5811,171952] |
[a1,a2,a3,a4,a6] |
j |
803812236029739/49380563 |
j-invariant |
L |
4.3353319652548 |
L(r)(E,1)/r! |
Ω |
1.4451106532957 |
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 |
66861b1 |
Quadratic twists by: -3 |