Atkin-Lehner |
2- 5+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47150g |
Isogeny class |
Conductor |
47150 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
55523840000000000 = 218 · 510 · 232 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -6 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-117963,-10717583] |
[a1,a2,a3,a4,a6] |
Generators |
[-258:1729:1] [-194:2305:1] |
Generators of the group modulo torsion |
j |
11618266732968169/3553525760000 |
j-invariant |
L |
9.6346147766791 |
L(r)(E,1)/r! |
Ω |
0.26374271341662 |
Real period |
R |
1.0147320651028 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9430c1 |
Quadratic twists by: 5 |