Atkin-Lehner |
2+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
4450c |
Isogeny class |
Conductor |
4450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1237656250000 = 24 · 510 · 892 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 -4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3292,-48384] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:168:1] [-17:58:1] |
Generators of the group modulo torsion |
j |
252555814161/79210000 |
j-invariant |
L |
3.2008606737892 |
L(r)(E,1)/r! |
Ω |
0.64579549869205 |
Real period |
R |
4.956461728631 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35600w2 40050bd2 890h2 |
Quadratic twists by: -4 -3 5 |