Atkin-Lehner |
2- 3- 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650cx |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
1.62945225E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1377188,98782992] |
[a1,a2,a3,a4,a6] |
Generators |
[-1112:16540:1] |
Generators of the group modulo torsion |
j |
18487721718276852601/10428494400000000 |
j-invariant |
L |
11.491853133839 |
L(r)(E,1)/r! |
Ω |
0.15659383988209 |
Real period |
R |
3.0577653199877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020775 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25530m2 |
Quadratic twists by: 5 |