Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984bu |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13022033871372288 = 219 · 3 · 73 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-217912,-38694032] |
[a1,a2,a3,a4,a6] |
Generators |
[51881235:1642717544:42875] |
Generators of the group modulo torsion |
j |
814544990575471/9268826496 |
j-invariant |
L |
6.3725080600767 |
L(r)(E,1)/r! |
Ω |
0.221119872445 |
Real period |
R |
14.409623137019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4998r2 119952gu2 39984dr2 |
Quadratic twists by: -4 -3 -7 |