Atkin-Lehner |
3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
18963a |
Isogeny class |
Conductor |
18963 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-99574466481 = -1 · 39 · 76 · 43 |
Discriminant |
Eigenvalues |
1 3+ 1 7- -3 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-744,17261] |
[a1,a2,a3,a4,a6] |
j |
-19683/43 |
j-invariant |
L |
1.8902257810824 |
L(r)(E,1)/r! |
Ω |
0.94511289054119 |
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 |
18963b1 387b1 |
Quadratic twists by: -3 -7 |