Atkin-Lehner |
3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45045bb |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
713882934765 = 37 · 5 · 73 · 114 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3210503,2214955842] |
[a1,a2,a3,a4,a6] |
Generators |
[1037:-393:1] |
Generators of the group modulo torsion |
j |
5020133855441875347241/979263285 |
j-invariant |
L |
3.0059429251348 |
L(r)(E,1)/r! |
Ω |
0.52532899622172 |
Real period |
R |
0.95366996896245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015h3 |
Quadratic twists by: -3 |