Atkin-Lehner |
2- 3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66300u |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-4981782000 = -1 · 24 · 3 · 53 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 3 13- 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1638,-25203] |
[a1,a2,a3,a4,a6] |
j |
-243164694272/2490891 |
j-invariant |
L |
1.4999050619545 |
L(r)(E,1)/r! |
Ω |
0.3749762667688 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66300bl1 |
Quadratic twists by: 5 |