Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050s |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
38912406750 = 2 · 33 · 53 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7947,274511] |
[a1,a2,a3,a4,a6] |
Generators |
[65:139:1] |
Generators of the group modulo torsion |
j |
139798359/98 |
j-invariant |
L |
3.3299810750436 |
L(r)(E,1)/r! |
Ω |
1.1404106444726 |
Real period |
R |
0.72999605255869 |
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 |
22050do2 22050dp2 3150j2 |
Quadratic twists by: -3 5 -7 |