Atkin-Lehner |
3+ 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109263b |
Isogeny class |
Conductor |
109263 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9155204788653 = -1 · 312 · 7 · 113 · 432 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 11+ 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6773,-262096] |
[a1,a2,a3,a4,a6] |
Generators |
[335304:8348999:512] |
Generators of the group modulo torsion |
j |
-25816234128875/6878440863 |
j-invariant |
L |
3.8515895708893 |
L(r)(E,1)/r! |
Ω |
0.25952107587795 |
Real period |
R |
7.4205717565843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000101497 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109263i2 |
Quadratic twists by: -11 |