Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
5166bg |
Isogeny class |
Conductor |
5166 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-96916219896006 = -1 · 2 · 315 · 72 · 413 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18734,1099379] |
[a1,a2,a3,a4,a6] |
j |
-997392270041497/132944060214 |
j-invariant |
L |
2.3246653457303 |
L(r)(E,1)/r! |
Ω |
0.58116633643258 |
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 |
41328bg1 1722g1 129150n1 36162db1 |
Quadratic twists by: -4 -3 5 -7 |