Atkin-Lehner |
2+ 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47658i |
Isogeny class |
Conductor |
47658 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-2032598655513192 = -1 · 23 · 3 · 138 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -3 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,29064,-1030898] |
[a1,a2,a3,a4,a6] |
j |
3328622375/2491752 |
j-invariant |
L |
0.78135482114619 |
L(r)(E,1)/r! |
Ω |
0.26045160716349 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47658bc2 |
Quadratic twists by: 13 |