Atkin-Lehner |
2- 3+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
105336bd |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
218112 |
Modular degree for the optimal curve |
Δ |
-20228314208256 = -1 · 211 · 39 · 74 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11- 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2187,219942] |
[a1,a2,a3,a4,a6] |
j |
-28697814/501809 |
j-invariant |
L |
2.3053477059601 |
L(r)(E,1)/r! |
Ω |
0.57633697178904 |
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 |
105336b1 |
Quadratic twists by: -3 |