Atkin-Lehner |
2+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44198p |
Isogeny class |
Conductor |
44198 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
170585540048 = 24 · 73 · 11 · 414 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6325,189981] |
[a1,a2,a3,a4,a6] |
Generators |
[27:186:1] |
Generators of the group modulo torsion |
j |
81605318359375/497333936 |
j-invariant |
L |
5.8544054587116 |
L(r)(E,1)/r! |
Ω |
1.0230956498908 |
Real period |
R |
2.861123228967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44198w2 |
Quadratic twists by: -7 |