Atkin-Lehner |
2+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
27968d |
Isogeny class |
Conductor |
27968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
2694715801206784 = 217 · 197 · 23 |
Discriminant |
Eigenvalues |
2+ 1 -3 2 -3 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-178177,-28900001] |
[a1,a2,a3,a4,a6] |
j |
4772777079094274/20559049997 |
j-invariant |
L |
0.46486729061891 |
L(r)(E,1)/r! |
Ω |
0.23243364530957 |
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 |
27968bv1 3496h1 |
Quadratic twists by: -4 8 |