Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568bd |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
935341396293206016 = 214 · 36 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-449297,106018575] |
[a1,a2,a3,a4,a6] |
Generators |
[175525:1104480:343] |
Generators of the group modulo torsion |
j |
4135597648/385641 |
j-invariant |
L |
11.90500327983 |
L(r)(E,1)/r! |
Ω |
0.27180676924875 |
Real period |
R |
7.2999183072123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012306 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
101568ck2 12696o2 4416n2 |
Quadratic twists by: -4 8 -23 |