Atkin-Lehner |
2+ 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
79296v |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1261997773553664 = 224 · 32 · 74 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33409,-1624609] |
[a1,a2,a3,a4,a6] |
Generators |
[47684:1260063:64] |
Generators of the group modulo torsion |
j |
15732118860193/4814139456 |
j-invariant |
L |
5.0059633161917 |
L(r)(E,1)/r! |
Ω |
0.36154026450031 |
Real period |
R |
6.923106230102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
79296bm2 2478e2 |
Quadratic twists by: -4 8 |