Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050bd |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.1967389094691E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6367167,3248007741] |
[a1,a2,a3,a4,a6] |
Generators |
[-2591:49733:1] |
Generators of the group modulo torsion |
j |
21302308926361/8930250000 |
j-invariant |
L |
3.9143716979068 |
L(r)(E,1)/r! |
Ω |
0.11483055803798 |
Real period |
R |
4.2610300829204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7350ck2 4410bk2 3150k2 |
Quadratic twists by: -3 5 -7 |