Atkin-Lehner |
2- 3- 23- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
42642p |
Isogeny class |
Conductor |
42642 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-27632016 = -1 · 24 · 36 · 23 · 103 |
Discriminant |
Eigenvalues |
2- 3- -3 1 -4 -2 8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-104,-453] |
[a1,a2,a3,a4,a6] |
j |
-169112377/37904 |
j-invariant |
L |
2.9569535843391 |
L(r)(E,1)/r! |
Ω |
0.73923839607472 |
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 |
4738a1 |
Quadratic twists by: -3 |