Atkin-Lehner |
3+ 5+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
19095a |
Isogeny class |
Conductor |
19095 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4.7076982425286E+26 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1860502753,-30871400370272] |
[a1,a2,a3,a4,a6] |
j |
712220817395521436722439914982809/470769824252860947509765625 |
j-invariant |
L |
3.3792983882431 |
L(r)(E,1)/r! |
Ω |
0.022988424409817 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57285d2 95475h2 |
Quadratic twists by: -3 5 |