Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
3450r |
Isogeny class |
Conductor |
3450 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
444107667000000 = 26 · 3 · 56 · 236 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19263,167781] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:642:1] |
Generators of the group modulo torsion |
j |
50591419971625/28422890688 |
j-invariant |
L |
4.1718218401534 |
L(r)(E,1)/r! |
Ω |
0.45618819179705 |
Real period |
R |
0.50805322052621 |
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 |
27600cm4 110400dy4 10350l4 138b4 |
Quadratic twists by: -4 8 -3 5 |