Atkin-Lehner |
2- 3+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45084f |
Isogeny class |
Conductor |
45084 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
905397509782272 = 28 · 3 · 132 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 13- 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1337588,595875624] |
[a1,a2,a3,a4,a6] |
Generators |
[994:15730:1] |
Generators of the group modulo torsion |
j |
42830942866000/146523 |
j-invariant |
L |
5.3983437557104 |
L(r)(E,1)/r! |
Ω |
0.43553739850115 |
Real period |
R |
4.1315577600562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2652g2 |
Quadratic twists by: 17 |