Atkin-Lehner |
2+ 3+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
39216a |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1.1386627415686E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -2 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1820808,-931033440] |
[a1,a2,a3,a4,a6] |
j |
651953246915592062500/11119753335631203 |
j-invariant |
L |
0.78060991987848 |
L(r)(E,1)/r! |
Ω |
0.1301016533125 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19608d2 117648a2 |
Quadratic twists by: -4 -3 |