Atkin-Lehner |
2+ 7+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
47656a |
Isogeny class |
Conductor |
47656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4.3735469864543E+19 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 0 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1068931,-282320610] |
[a1,a2,a3,a4,a6] |
Generators |
[8930993110734:-87367075520646:7495014493] |
Generators of the group modulo torsion |
j |
65954248528024718514/21355209894796463 |
j-invariant |
L |
3.4450850492813 |
L(r)(E,1)/r! |
Ω |
0.15229844914792 |
Real period |
R |
22.620618059878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999835 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95312g2 |
Quadratic twists by: -4 |