Atkin-Lehner |
2- 3- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
48144q |
Isogeny class |
Conductor |
48144 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3.9450263769395E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 2 2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3021568,1997886260] |
[a1,a2,a3,a4,a6] |
Generators |
[8746:12393:8] |
Generators of the group modulo torsion |
j |
744836627802494202625/9631412053075062 |
j-invariant |
L |
8.037902149056 |
L(r)(E,1)/r! |
Ω |
0.20511939275678 |
Real period |
R |
1.6327690182904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6018h2 |
Quadratic twists by: -4 |