Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10032o |
Isogeny class |
Conductor |
10032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
213432164352 = 213 · 38 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-677744,214530900] |
[a1,a2,a3,a4,a6] |
j |
8405459297332260337/52107462 |
j-invariant |
L |
1.3668281160702 |
L(r)(E,1)/r! |
Ω |
0.68341405803512 |
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 |
1254h5 40128bm6 30096bk6 110352bz6 |
Quadratic twists by: -4 8 -3 -11 |