Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050bq |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
2251360676250000 = 24 · 37 · 57 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38817,-1848659] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:923:1] |
Generators of the group modulo torsion |
j |
4826809/1680 |
j-invariant |
L |
4.0475904042411 |
L(r)(E,1)/r! |
Ω |
0.34982133790027 |
Real period |
R |
0.72315314378332 |
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 |
7350bu1 4410be1 3150o1 |
Quadratic twists by: -3 5 -7 |