Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
4450n |
Isogeny class |
Conductor |
4450 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
22784000000 = 214 · 56 · 89 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 0 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1113,12217] |
[a1,a2,a3,a4,a6] |
Generators |
[2:99:1] |
Generators of the group modulo torsion |
j |
9759185353/1458176 |
j-invariant |
L |
3.9523307500345 |
L(r)(E,1)/r! |
Ω |
1.1539831856521 |
Real period |
R |
0.2446390404975 |
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 |
35600bb1 40050e1 178b1 |
Quadratic twists by: -4 -3 5 |