Atkin-Lehner |
5+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
22825b |
Isogeny class |
Conductor |
22825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
29601171875 = 58 · 11 · 832 |
Discriminant |
Eigenvalues |
1 -2 5+ 4 11+ 2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1251,-14977] |
[a1,a2,a3,a4,a6] |
Generators |
[47:151:1] |
Generators of the group modulo torsion |
j |
13841287201/1894475 |
j-invariant |
L |
4.2032118293209 |
L(r)(E,1)/r! |
Ω |
0.81012143789361 |
Real period |
R |
2.5941862742515 |
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 |
4565b2 |
Quadratic twists by: 5 |