Atkin-Lehner |
5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19855c |
Isogeny class |
Conductor |
19855 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-7.2089700060766E+26 |
Discriminant |
Eigenvalues |
-1 0 5- 0 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-342271027,2758530650854] |
[a1,a2,a3,a4,a6] |
Generators |
[-10388:2284006:1] |
Generators of the group modulo torsion |
j |
-94256762600623910012361/15323275604248046875 |
j-invariant |
L |
2.5902571639472 |
L(r)(E,1)/r! |
Ω |
0.048915993801699 |
Real period |
R |
3.3095734168868 |
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 |
99275a3 1045b4 |
Quadratic twists by: 5 -19 |