Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152bh |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
623591936703332352 = 236 · 33 · 72 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -6 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-270555,38607242] |
[a1,a2,a3,a4,a6] |
j |
19804628171203875/5638671302656 |
j-invariant |
L |
1.0753244444064 |
L(r)(E,1)/r! |
Ω |
0.2688311111016 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2394h1 76608dg1 19152bg3 |
Quadratic twists by: -4 8 -3 |