Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120cn |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-19543818240 = -1 · 216 · 33 · 5 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-321,6975] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:96:1] |
Generators of the group modulo torsion |
j |
-55990084/298215 |
j-invariant |
L |
6.5172252414975 |
L(r)(E,1)/r! |
Ω |
1.0554323293419 |
Real period |
R |
1.0291557087262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45120e1 11280d1 |
Quadratic twists by: -4 8 |