Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050dh |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
7236516459375000 = 23 · 39 · 58 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1407755,643231747] |
[a1,a2,a3,a4,a6] |
Generators |
[-971:33560:1] |
Generators of the group modulo torsion |
j |
8527173507/200 |
j-invariant |
L |
8.3609268188764 |
L(r)(E,1)/r! |
Ω |
0.3875391176596 |
Real period |
R |
1.7978672857098 |
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 |
22050k2 4410c4 450e4 |
Quadratic twists by: -3 5 -7 |