Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
108576y |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
41317293888 = 26 · 310 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 2 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12549,-540992] |
[a1,a2,a3,a4,a6] |
Generators |
[14639:1771146:1] |
Generators of the group modulo torsion |
j |
4684287775168/885573 |
j-invariant |
L |
9.686292910895 |
L(r)(E,1)/r! |
Ω |
0.45107857697927 |
Real period |
R |
5.368406614536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108576z1 36192o1 |
Quadratic twists by: -4 -3 |