Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ks |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
200623718400 = 216 · 3 · 52 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108865,-13861825] |
[a1,a2,a3,a4,a6] |
Generators |
[385:1200:1] |
Generators of the group modulo torsion |
j |
2177271568809796/3061275 |
j-invariant |
L |
10.214559963816 |
L(r)(E,1)/r! |
Ω |
0.26283136445776 |
Real period |
R |
4.8579438111264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999619326 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240bp4 28560h4 |
Quadratic twists by: -4 8 |