Atkin-Lehner |
2+ 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
45450c |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4015725660000000000 = 211 · 39 · 510 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7337292,7651057616] |
[a1,a2,a3,a4,a6] |
Generators |
[-14578:986039:8] |
Generators of the group modulo torsion |
j |
142042999823341947/13057280000 |
j-invariant |
L |
4.4772833719631 |
L(r)(E,1)/r! |
Ω |
0.23654448022686 |
Real period |
R |
4.7319677124418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45450bo2 9090o2 |
Quadratic twists by: -3 5 |