Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
22050ds |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
5601052800 = 27 · 36 · 52 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 0 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-965,11197] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:128:1] |
Generators of the group modulo torsion |
j |
2268945/128 |
j-invariant |
L |
8.0826387477041 |
L(r)(E,1)/r! |
Ω |
1.3325181458304 |
Real period |
R |
0.14442113250722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2450a1 22050bz1 22050ec1 |
Quadratic twists by: -3 5 -7 |