Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568ck |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.1858502224309E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,524063,-503344127] |
[a1,a2,a3,a4,a6] |
Generators |
[13808715:893679904:3375] |
Generators of the group modulo torsion |
j |
1640689628/12223143 |
j-invariant |
L |
6.0840437975565 |
L(r)(E,1)/r! |
Ω |
0.092752072683877 |
Real period |
R |
8.1993367250104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999984442 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568bd3 25392q3 4416q4 |
Quadratic twists by: -4 8 -23 |