Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360cr |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5093798400000000 = 215 · 34 · 58 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43480,636400] |
[a1,a2,a3,a4,a6] |
Generators |
[10:450:1] |
Generators of the group modulo torsion |
j |
451747330217/253125000 |
j-invariant |
L |
6.7856276599441 |
L(r)(E,1)/r! |
Ω |
0.37261077475041 |
Real period |
R |
1.1381896538653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000161 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8670k2 69360dc2 |
Quadratic twists by: -4 17 |