Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
9090q |
Isogeny class |
Conductor |
9090 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
1389700841472000 = 224 · 38 · 53 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33593,-1540519] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:460:1] |
Generators of the group modulo torsion |
j |
5750828726750281/1906311168000 |
j-invariant |
L |
6.1542446789165 |
L(r)(E,1)/r! |
Ω |
0.36202121897102 |
Real period |
R |
0.70831997734931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72720bf1 3030n1 45450m1 |
Quadratic twists by: -4 -3 5 |