Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520dg |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13373942400000000 = 213 · 38 · 58 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8807763,-10061123438] |
[a1,a2,a3,a4,a6] |
Generators |
[-1713:22:1] |
Generators of the group modulo torsion |
j |
25306558948218234961/4478906250 |
j-invariant |
L |
5.0818345931827 |
L(r)(E,1)/r! |
Ω |
0.087636122602957 |
Real period |
R |
3.6242436641687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.999999999721 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190k5 21840ck6 |
Quadratic twists by: -4 -3 |