Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200ck |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-716551727821619200 = -1 · 242 · 52 · 73 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 -5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46768,-40928172] |
[a1,a2,a3,a4,a6] |
Generators |
[404:2506:1] |
Generators of the group modulo torsion |
j |
-110478923954905/6997575467008 |
j-invariant |
L |
3.3855784176134 |
L(r)(E,1)/r! |
Ω |
0.12562497701309 |
Real period |
R |
4.4916471470961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650v2 53200df2 |
Quadratic twists by: -4 5 |