Atkin-Lehner |
2+ 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
10176f |
Isogeny class |
Conductor |
10176 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
8387629056 = 212 · 36 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3817,-91945] |
[a1,a2,a3,a4,a6] |
j |
1501910377408/2047761 |
j-invariant |
L |
1.8222851956238 |
L(r)(E,1)/r! |
Ω |
0.60742839854128 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10176a2 5088b1 30528v2 |
Quadratic twists by: -4 8 -3 |