Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568dn |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-52002816 = -1 · 215 · 3 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 1 3 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,31,351] |
[a1,a2,a3,a4,a6] |
j |
184/3 |
j-invariant |
L |
2.9719680548666 |
L(r)(E,1)/r! |
Ω |
1.4859840201841 |
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 |
101568co1 50784e1 101568dk1 |
Quadratic twists by: -4 8 -23 |