Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
108576z |
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 |
[76:162:1] |
Generators of the group modulo torsion |
j |
4684287775168/885573 |
j-invariant |
L |
6.2210598516984 |
L(r)(E,1)/r! |
Ω |
1.1114099124096 |
Real period |
R |
1.3993621481842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002455 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108576y1 36192f1 |
Quadratic twists by: -4 -3 |