Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18928b |
Isogeny class |
Conductor |
18928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-8649641728 = -1 · 28 · 7 · 136 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ -4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,169,-4394] |
[a1,a2,a3,a4,a6] |
Generators |
[651:3160:27] |
Generators of the group modulo torsion |
j |
432/7 |
j-invariant |
L |
3.2417266529449 |
L(r)(E,1)/r! |
Ω |
0.63685447301887 |
Real period |
R |
5.0902157247608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9464d1 75712bs1 112b1 |
Quadratic twists by: -4 8 13 |