Atkin-Lehner |
3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45045bb |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
394612066874025 = 38 · 52 · 76 · 112 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-200678,34638612] |
[a1,a2,a3,a4,a6] |
Generators |
[302:-1380:1] |
Generators of the group modulo torsion |
j |
1226008404186998041/541305990225 |
j-invariant |
L |
3.0059429251348 |
L(r)(E,1)/r! |
Ω |
0.52532899622172 |
Real period |
R |
0.47683498448123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15015h2 |
Quadratic twists by: -3 |