Atkin-Lehner |
2+ 3+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
10176a |
Isogeny class |
Conductor |
10176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
6980992598016 = 215 · 33 · 534 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4897,36865] |
[a1,a2,a3,a4,a6] |
Generators |
[-8145:34244:125] |
Generators of the group modulo torsion |
j |
396417457736/213042987 |
j-invariant |
L |
4.6721279370237 |
L(r)(E,1)/r! |
Ω |
0.6527746676623 |
Real period |
R |
7.1573364722553 |
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 |
10176f4 5088f2 30528u3 |
Quadratic twists by: -4 8 -3 |