Atkin-Lehner |
2+ 3- 43- 61- |
Signs for the Atkin-Lehner involutions |
Class |
47214g |
Isogeny class |
Conductor |
47214 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-2.5220456152959E+23 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 -3 5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-108345051,434771003061] |
[a1,a2,a3,a4,a6] |
j |
-192940509529767923932426417/345959618010405227344 |
j-invariant |
L |
0.7883441696757 |
L(r)(E,1)/r! |
Ω |
0.098543021147425 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
5246c3 |
Quadratic twists by: -3 |