Atkin-Lehner |
2+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
38266b |
Isogeny class |
Conductor |
38266 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
506160 |
Modular degree for the optimal curve |
Δ |
-384326211057953464 = -1 · 23 · 199 · 533 |
Discriminant |
Eigenvalues |
2+ 0 2 -3 4 -3 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,85309,28221677] |
[a1,a2,a3,a4,a6] |
j |
212776173/1191016 |
j-invariant |
L |
1.3026655053715 |
L(r)(E,1)/r! |
Ω |
0.21711091756061 |
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 |
38266g1 |
Quadratic twists by: -19 |