Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600bo |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2132812500000000000 = -1 · 211 · 3 · 518 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,160992,-65771988] |
[a1,a2,a3,a4,a6] |
Generators |
[3420061337:-103567968750:4173281] |
Generators of the group modulo torsion |
j |
14420619677518/66650390625 |
j-invariant |
L |
5.6505773506633 |
L(r)(E,1)/r! |
Ω |
0.13150720085081 |
Real period |
R |
10.741954269674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999819 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200cb3 10920i4 |
Quadratic twists by: -4 5 |