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 |
1.0461371297149E+23 |
Discriminant |
Eigenvalues |
-1 0 5- 0 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-354651522,2570738350496] |
[a1,a2,a3,a4,a6] |
Generators |
[21036:2091544:1] |
Generators of the group modulo torsion |
j |
104859453317683374662841/2223652969140625 |
j-invariant |
L |
2.5902571639472 |
L(r)(E,1)/r! |
Ω |
0.097831987603397 |
Real period |
R |
6.6191468337736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99275a2 1045b2 |
Quadratic twists by: 5 -19 |