Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8160d |
Isogeny class |
Conductor |
8160 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-2496960 = -1 · 26 · 33 · 5 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,34,0] |
[a1,a2,a3,a4,a6] |
Generators |
[1:6:1] |
Generators of the group modulo torsion |
j |
65939264/39015 |
j-invariant |
L |
5.0692944356839 |
L(r)(E,1)/r! |
Ω |
1.5068814748543 |
Real period |
R |
1.1213654425329 |
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 |
8160b1 16320ce1 24480bf1 40800bh1 |
Quadratic twists by: -4 8 -3 5 |