Atkin-Lehner |
2- 3+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45084h |
Isogeny class |
Conductor |
45084 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1.8432303194791E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1431513,-88511634] |
[a1,a2,a3,a4,a6] |
Generators |
[-318:18288:1] |
Generators of the group modulo torsion |
j |
840033089536000/477272151837 |
j-invariant |
L |
5.9211100411835 |
L(r)(E,1)/r! |
Ω |
0.14908480259349 |
Real period |
R |
6.6193981972916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2652f3 |
Quadratic twists by: 17 |