Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16320bh |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-7344000000000000 = -1 · 216 · 33 · 512 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,18335,-4004737] |
[a1,a2,a3,a4,a6] |
Generators |
[221:3300:1] |
Generators of the group modulo torsion |
j |
10400706415004/112060546875 |
j-invariant |
L |
6.3800278561828 |
L(r)(E,1)/r! |
Ω |
0.20601860580656 |
Real period |
R |
1.7204562210413 |
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 |
16320bz4 2040j4 48960bz3 81600v3 |
Quadratic twists by: -4 8 -3 5 |