Atkin-Lehner |
2+ 3+ 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
81168l |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
81168 = 24 · 3 · 19 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 4 -1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3092,-65157] |
[a1,a2,a3,a4,a6] |
j |
204391407854848/5073 |
j-invariant |
L |
2.5608725743972 |
L(r)(E,1)/r! |
Ω |
0.64021814668239 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40584x1 |
Quadratic twists by: -4 |