Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16320l |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
451215360 = 216 · 34 · 5 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7265,-235935] |
[a1,a2,a3,a4,a6] |
j |
647158135396/6885 |
j-invariant |
L |
2.0684543332321 |
L(r)(E,1)/r! |
Ω |
0.51711358330802 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16320cs4 2040m3 48960by4 81600dm4 |
Quadratic twists by: -4 8 -3 5 |