Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320bx |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1958400000000 = 215 · 32 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7361,-231135] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:8:1] |
Generators of the group modulo torsion |
j |
1346304286088/59765625 |
j-invariant |
L |
3.2713087568089 |
L(r)(E,1)/r! |
Ω |
0.51683408379712 |
Real period |
R |
3.164757181623 |
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 |
16320cq4 8160r2 48960fo3 81600ie3 |
Quadratic twists by: -4 8 -3 5 |