Atkin-Lehner |
3- 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
10065l |
Isogeny class |
Conductor |
10065 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-4.2044002825169E+19 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4460930,-3640253385] |
[a1,a2,a3,a4,a6] |
j |
-9817478153357586761106721/42044002825168527315 |
j-invariant |
L |
1.6616972162127 |
L(r)(E,1)/r! |
Ω |
0.051928038006648 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30195h7 50325d7 110715t7 |
Quadratic twists by: -3 5 -11 |