Atkin-Lehner |
2- 3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150cs |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-92346088511250000 = -1 · 24 · 32 · 57 · 74 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,48812,-14015008] |
[a1,a2,a3,a4,a6] |
Generators |
[482:10784:1] |
Generators of the group modulo torsion |
j |
823157496813959/5910149664720 |
j-invariant |
L |
10.040663445789 |
L(r)(E,1)/r! |
Ω |
0.16858360676482 |
Real period |
R |
1.8612173431485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999904 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030g4 |
Quadratic twists by: 5 |