Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568bk |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2.1512852114744E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 0 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-178449,-225093105] |
[a1,a2,a3,a4,a6] |
Generators |
[7203:610128:1] |
Generators of the group modulo torsion |
j |
-21296/729 |
j-invariant |
L |
6.8428938904568 |
L(r)(E,1)/r! |
Ω |
0.093702811778018 |
Real period |
R |
6.0856354931968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006478 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568cs2 12696l2 101568bc2 |
Quadratic twists by: -4 8 -23 |