Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47320w |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
393558698624000 = 210 · 53 · 72 · 137 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 4 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-94696,-11144004] |
[a1,a2,a3,a4,a6] |
Generators |
[-38145270:10277904:205379] |
Generators of the group modulo torsion |
j |
19000416964/79625 |
j-invariant |
L |
9.2409490684026 |
L(r)(E,1)/r! |
Ω |
0.27222358840867 |
Real period |
R |
8.486543288205 |
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 |
94640e1 3640f1 |
Quadratic twists by: -4 13 |