Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10850u |
Isogeny class |
Conductor |
10850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
3390625000000000 = 29 · 515 · 7 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 3 -5 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-531713,-149427969] |
[a1,a2,a3,a4,a6] |
Generators |
[-425:312:1] |
Generators of the group modulo torsion |
j |
1063985165884855369/217000000000 |
j-invariant |
L |
5.3524801572618 |
L(r)(E,1)/r! |
Ω |
0.17680133741759 |
Real period |
R |
1.6818877791316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86800bt3 97650bf3 2170c3 75950cf3 |
Quadratic twists by: -4 -3 5 -7 |