Atkin-Lehner |
5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
99275a |
Isogeny class |
Conductor |
99275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.6345892651795E+27 |
Discriminant |
Eigenvalues |
1 0 5+ 0 11+ 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8866288042,321333427523991] |
[a1,a2,a3,a4,a6] |
j |
104859453317683374662841/2223652969140625 |
j-invariant |
L |
3.1501294666174 |
L(r)(E,1)/r! |
Ω |
0.043751794931023 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19855c2 5225b2 |
Quadratic twists by: 5 -19 |