Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
51660j |
Isogeny class |
Conductor |
51660 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
-113492867048467200 = -1 · 28 · 37 · 52 · 76 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48648,16726372] |
[a1,a2,a3,a4,a6] |
Generators |
[176:-3690:1] |
Generators of the group modulo torsion |
j |
-68226201051136/608136504675 |
j-invariant |
L |
5.8909860904299 |
L(r)(E,1)/r! |
Ω |
0.28466820998083 |
Real period |
R |
0.43112954865202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999466 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
17220m2 |
Quadratic twists by: -3 |