Atkin-Lehner |
2+ 3- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
16590i |
Isogeny class |
Conductor |
16590 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-123302188800 = -1 · 28 · 32 · 52 · 73 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1186,-6064] |
[a1,a2,a3,a4,a6] |
Generators |
[21:157:1] |
Generators of the group modulo torsion |
j |
184715807453351/123302188800 |
j-invariant |
L |
4.3244748215674 |
L(r)(E,1)/r! |
Ω |
0.59454953653411 |
Real period |
R |
0.60612763050503 |
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 |
49770bz1 82950bn1 116130r1 |
Quadratic twists by: -3 5 -7 |