Atkin-Lehner |
2- 3+ 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
47430v |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
678233822400 = 26 · 33 · 52 · 17 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -6 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17108,-856073] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:53:1] |
Generators of the group modulo torsion |
j |
20508498893984067/25119771200 |
j-invariant |
L |
7.406151689986 |
L(r)(E,1)/r! |
Ω |
0.41747807183732 |
Real period |
R |
1.4783514371911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47430d2 |
Quadratic twists by: -3 |