Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39762j |
Isogeny class |
Conductor |
39762 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.4847409275148E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69623676,-223459989080] |
[a1,a2,a3,a4,a6] |
Generators |
[58321212202069511211177860975:-10340839802871172163715833609674:1739027495065012207328125] |
Generators of the group modulo torsion |
j |
4749849927048673/3162033288 |
j-invariant |
L |
4.878208878595 |
L(r)(E,1)/r! |
Ω |
0.052267011780018 |
Real period |
R |
46.666230883134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13254i4 846c4 |
Quadratic twists by: -3 -47 |