Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16698bg |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-1574283176548718724 = -1 · 22 · 38 · 118 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 3 4 11- -1 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-92144,-61357867] |
[a1,a2,a3,a4,a6] |
j |
-403630251937/7344147204 |
j-invariant |
L |
5.5241058716558 |
L(r)(E,1)/r! |
Ω |
0.11508553899283 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50094w1 16698j1 |
Quadratic twists by: -3 -11 |