Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050fm |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-124077890133760500 = -1 · 22 · 316 · 53 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31100,17086227] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:4431:1] |
Generators of the group modulo torsion |
j |
-310288733/11573604 |
j-invariant |
L |
8.2575559725736 |
L(r)(E,1)/r! |
Ω |
0.27508075041865 |
Real period |
R |
1.8761663529723 |
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 |
7350q2 22050cj2 3150bo2 |
Quadratic twists by: -3 5 -7 |