Atkin-Lehner |
2+ 3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
73326r |
Isogeny class |
Conductor |
73326 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1.67754985447E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-676151,83392472] |
[a1,a2,a3,a4,a6] |
Generators |
[-4434:137969:8] [-210:14806:1] |
Generators of the group modulo torsion |
j |
19297353913890625/9469331592138 |
j-invariant |
L |
8.9343124758245 |
L(r)(E,1)/r! |
Ω |
0.19494628260207 |
Real period |
R |
2.5460895507975 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6666h2 |
Quadratic twists by: -11 |