Atkin-Lehner |
2+ 3+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
47658h |
Isogeny class |
Conductor |
47658 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2906735696136792 = 23 · 36 · 139 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4404481,3556035709] |
[a1,a2,a3,a4,a6] |
Generators |
[1967:49094:1] |
Generators of the group modulo torsion |
j |
891082507016989/274104 |
j-invariant |
L |
2.562327892714 |
L(r)(E,1)/r! |
Ω |
0.36327343312096 |
Real period |
R |
7.0534414552055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998586 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47658y2 |
Quadratic twists by: 13 |