Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730bq |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6617556366750 = 2 · 37 · 53 · 74 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35348,-2546103] |
[a1,a2,a3,a4,a6] |
Generators |
[1750:2253:8] |
Generators of the group modulo torsion |
j |
6700067906144761/9077580750 |
j-invariant |
L |
8.4653316010171 |
L(r)(E,1)/r! |
Ω |
0.34821272473452 |
Real period |
R |
6.077701215161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910h2 |
Quadratic twists by: -3 |