Atkin-Lehner |
2- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
220a |
Isogeny class |
Conductor |
220 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
44000000 = 28 · 56 · 11 |
Discriminant |
Eigenvalues |
2- -2 5- -4 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100,-252] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:10:1] |
Generators of the group modulo torsion |
j |
436334416/171875 |
j-invariant |
L |
1.1411181830796 |
L(r)(E,1)/r! |
Ω |
1.5602749305259 |
Real period |
R |
1.4627142444632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
880j2 3520g2 1980b2 1100b2 |
Quadratic twists by: -4 8 -3 5 |