Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
22050cc |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-32818668750000 = -1 · 24 · 37 · 58 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5742,-321084] |
[a1,a2,a3,a4,a6] |
Generators |
[144:1278:1] |
Generators of the group modulo torsion |
j |
-30625/48 |
j-invariant |
L |
4.162060987207 |
L(r)(E,1)/r! |
Ω |
0.25993122088962 |
Real period |
R |
1.3343468876633 |
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 |
7350ct1 22050dv1 22050cs1 |
Quadratic twists by: -3 5 -7 |