Atkin-Lehner |
2- 3+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5148a |
Isogeny class |
Conductor |
5148 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
61776 = 24 · 33 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11+ 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-144,665] |
[a1,a2,a3,a4,a6] |
Generators |
[8:5:1] |
Generators of the group modulo torsion |
j |
764411904/143 |
j-invariant |
L |
4.2978167237361 |
L(r)(E,1)/r! |
Ω |
3.3980608597245 |
Real period |
R |
0.84319006263758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20592y1 82368j1 5148b1 128700a1 |
Quadratic twists by: -4 8 -3 5 |