Atkin-Lehner |
2+ 3- 5- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
19470o |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1.0784317016602E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-60513723,181175854006] |
[a1,a2,a3,a4,a6] |
j |
24506727441524131611064035241/1078431701660156250000 |
j-invariant |
L |
2.9185895116019 |
L(r)(E,1)/r! |
Ω |
0.14592947558009 |
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 |
58410bd4 97350bp4 |
Quadratic twists by: -3 5 |