Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17600dd |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-12094627905536000 = -1 · 243 · 53 · 11 |
Discriminant |
Eigenvalues |
2- -1 5- -3 11- -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1940993,-1040206943] |
[a1,a2,a3,a4,a6] |
Generators |
[3707:206620:1] [7637:655360:1] |
Generators of the group modulo torsion |
j |
-24680042791780949/369098752 |
j-invariant |
L |
5.706368040588 |
L(r)(E,1)/r! |
Ω |
0.063953329352733 |
Real period |
R |
11.15338344841 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17600v3 4400v3 17600dc3 |
Quadratic twists by: -4 8 5 |