Atkin-Lehner |
2- 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46512z |
Isogeny class |
Conductor |
46512 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
805898066853888 = 226 · 37 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43275,-3184454] |
[a1,a2,a3,a4,a6] |
j |
3001563015625/269893632 |
j-invariant |
L |
2.6632957396455 |
L(r)(E,1)/r! |
Ω |
0.33291196750566 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5814s1 15504s1 |
Quadratic twists by: -4 -3 |