Atkin-Lehner |
2+ 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890a |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
10964060856000 = 26 · 39 · 53 · 74 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -4 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23235,-1348075] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:139:1] [-82:69:1] |
Generators of the group modulo torsion |
j |
29354778243/232000 |
j-invariant |
L |
8.2445022713939 |
L(r)(E,1)/r! |
Ω |
0.38687439689477 |
Real period |
R |
1.7758783247501 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001503 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890dr1 127890x2 |
Quadratic twists by: -3 -7 |