Atkin-Lehner |
3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45045z |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4856346495 = 36 · 5 · 7 · 114 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21863,-1238768] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:43:1] |
Generators of the group modulo torsion |
j |
1585283083029801/6661655 |
j-invariant |
L |
3.3132914780438 |
L(r)(E,1)/r! |
Ω |
0.39262122830243 |
Real period |
R |
2.1097251238589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5005e3 |
Quadratic twists by: -3 |