Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
4950o |
Isogeny class |
Conductor |
4950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1452901465125000 = -1 · 23 · 38 · 56 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9117,1866541] |
[a1,a2,a3,a4,a6] |
Generators |
[59:1208:1] |
Generators of the group modulo torsion |
j |
-7357983625/127552392 |
j-invariant |
L |
2.6986187738609 |
L(r)(E,1)/r! |
Ω |
0.40369917389095 |
Real period |
R |
0.55706058462853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39600df4 1650m4 198b4 54450fr4 |
Quadratic twists by: -4 -3 5 -11 |