Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
22050dr |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-1313293727812500 = -1 · 22 · 36 · 57 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 0 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1451855,-672976853] |
[a1,a2,a3,a4,a6] |
Generators |
[17579:2316260:1] |
Generators of the group modulo torsion |
j |
-5154200289/20 |
j-invariant |
L |
8.0217019173857 |
L(r)(E,1)/r! |
Ω |
0.068768360442592 |
Real period |
R |
4.860339518638 |
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 |
2450c1 4410n1 22050eb1 |
Quadratic twists by: -3 5 -7 |