Atkin-Lehner |
2+ 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
48950j |
Isogeny class |
Conductor |
48950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
246357701562500 = 22 · 58 · 116 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 11- -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-44001,3467648] |
[a1,a2,a3,a4,a6] |
Generators |
[37:1356:1] [-227:1444:1] |
Generators of the group modulo torsion |
j |
602944222256641/15766892900 |
j-invariant |
L |
4.21467425881 |
L(r)(E,1)/r! |
Ω |
0.55341904821693 |
Real period |
R |
0.6346417891332 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790p2 |
Quadratic twists by: 5 |