Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050fo |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
2824106832288000 = 28 · 37 · 53 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35510,318917] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:1395:1] |
Generators of the group modulo torsion |
j |
461889917/263424 |
j-invariant |
L |
8.2156149683901 |
L(r)(E,1)/r! |
Ω |
0.38850449909784 |
Real period |
R |
0.66083653692137 |
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 |
7350bk1 22050co1 3150bq1 |
Quadratic twists by: -3 5 -7 |