Atkin-Lehner |
2- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38266g |
Isogeny class |
Conductor |
38266 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
26640 |
Modular degree for the optimal curve |
Δ |
-8169178744 = -1 · 23 · 193 · 533 |
Discriminant |
Eigenvalues |
2- 0 2 -3 4 3 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,236,-4177] |
[a1,a2,a3,a4,a6] |
j |
212776173/1191016 |
j-invariant |
L |
3.9434155750019 |
L(r)(E,1)/r! |
Ω |
0.65723592917424 |
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 |
38266b1 |
Quadratic twists by: -19 |