Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108192bf |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
63628855976448 = 29 · 38 · 77 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-85472,9638868] |
[a1,a2,a3,a4,a6] |
Generators |
[61:2156:1] |
Generators of the group modulo torsion |
j |
1146415874696/1056321 |
j-invariant |
L |
6.9670805585317 |
L(r)(E,1)/r! |
Ω |
0.61758701618478 |
Real period |
R |
2.820282964667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924644 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108192ce4 15456t2 |
Quadratic twists by: -4 -7 |