Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8190bn |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
102066847040471040 = 216 · 310 · 5 · 74 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-204467,-32044269] |
[a1,a2,a3,a4,a6] |
j |
1296772724742600169/140009392373760 |
j-invariant |
L |
3.6173630122234 |
L(r)(E,1)/r! |
Ω |
0.22608518826396 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520ei1 2730a1 40950bs1 57330ek1 |
Quadratic twists by: -4 -3 5 -7 |