Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232bj |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6259968 |
Modular degree for the optimal curve |
Δ |
2.2006448194464E+21 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 11- 13+ 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15318216,22970458224] |
[a1,a2,a3,a4,a6] |
Generators |
[61103704962:329341912498:29503629] |
Generators of the group modulo torsion |
j |
703971110401/3897234 |
j-invariant |
L |
5.2969723992101 |
L(r)(E,1)/r! |
Ω |
0.1470114218014 |
Real period |
R |
18.015513129197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154n1 89232bc1 |
Quadratic twists by: -4 13 |