Atkin-Lehner |
2- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109120ba |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
54560000000000 = 214 · 510 · 11 · 31 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11441,305359] |
[a1,a2,a3,a4,a6] |
Generators |
[90:113:1] |
Generators of the group modulo torsion |
j |
10109593391056/3330078125 |
j-invariant |
L |
2.7425603348435 |
L(r)(E,1)/r! |
Ω |
0.5802509571173 |
Real period |
R |
4.7265072243687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999784207 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109120e2 27280f2 |
Quadratic twists by: -4 8 |