Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568dk |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
459264 |
Modular degree for the optimal curve |
Δ |
-7698283097063424 = -1 · 215 · 3 · 238 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 -3 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16223,-4140385] |
[a1,a2,a3,a4,a6] |
j |
184/3 |
j-invariant |
L |
3.6599410843129 |
L(r)(E,1)/r! |
Ω |
0.2033300515262 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101568cf1 50784f1 101568dn1 |
Quadratic twists by: -4 8 -23 |