Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568cz |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4249452269579010048 = 218 · 32 · 239 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 0 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37360801,87909060673] |
[a1,a2,a3,a4,a6] |
Generators |
[1639424224167345:-9685152105913124:438110169875] |
Generators of the group modulo torsion |
j |
12214672127/9 |
j-invariant |
L |
9.7588986423248 |
L(r)(E,1)/r! |
Ω |
0.20437494007971 |
Real period |
R |
23.874988403265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935264 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568bt2 25392bj2 101568dc2 |
Quadratic twists by: -4 8 -23 |