Atkin-Lehner |
11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
40931a |
Isogeny class |
Conductor |
40931 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-566724117971 = -1 · 11 · 616 |
Discriminant |
Eigenvalues |
2 -1 1 2 11+ 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-29099460,-60409576035] |
[a1,a2,a3,a4,a6] |
Generators |
[165884083460135301723720854972307686285564148537885423642853707232667111369721588815758911465000711080485742880:-18579625950336088947001063168170525659406815582657792494554660965234896790952139666058036251055192069833288898237:11216293547771007974614665914239703864260278907343708945884663551779532780266897153687458967777547276288000] |
Generators of the group modulo torsion |
j |
-52893159101157376/11 |
j-invariant |
L |
10.951214812904 |
L(r)(E,1)/r! |
Ω |
0.032501119860351 |
Real period |
R |
168.47442272694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11a2 |
Quadratic twists by: 61 |