Atkin-Lehner |
2- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
220a |
Isogeny class |
Conductor |
220 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
141724880 = 24 · 5 · 116 |
Discriminant |
Eigenvalues |
2- -2 5- -4 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-445,-3720] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:6:1] |
Generators of the group modulo torsion |
j |
610462990336/8857805 |
j-invariant |
L |
1.1411181830796 |
L(r)(E,1)/r! |
Ω |
1.0401832870173 |
Real period |
R |
2.1940713666949 |
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 |
880j3 3520g3 1980b3 1100b3 |
Quadratic twists by: -4 8 -3 5 |