Atkin-Lehner |
2+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48050a |
Isogeny class |
Conductor |
48050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
53305689840062500 = 22 · 56 · 318 |
Discriminant |
Eigenvalues |
2+ -3 5+ 3 -3 -5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1833868792,-30226921380884] |
[a1,a2,a3,a4,a6] |
Generators |
[113274257292904712743092082067602:-13933750090962765398005584032132608:1996768772961548567585112809] |
Generators of the group modulo torsion |
j |
51181724570498001/4 |
j-invariant |
L |
2.439420040681 |
L(r)(E,1)/r! |
Ω |
0.023070525643343 |
Real period |
R |
52.868757270489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1922c2 48050f2 |
Quadratic twists by: 5 -31 |