Atkin-Lehner |
3+ 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45045b |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
49512251163375 = 33 · 53 · 72 · 116 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-337418,75523282] |
[a1,a2,a3,a4,a6] |
Generators |
[2:8650:1] |
Generators of the group modulo torsion |
j |
157348816936437477987/1833787080125 |
j-invariant |
L |
2.8104027424377 |
L(r)(E,1)/r! |
Ω |
0.57591598813567 |
Real period |
R |
1.2199707944929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45045j2 |
Quadratic twists by: -3 |