Atkin-Lehner |
2- 5- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
89680j |
Isogeny class |
Conductor |
89680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-3353942256865280000 = -1 · 215 · 54 · 196 · 592 |
Discriminant |
Eigenvalues |
2- 0 5- -4 -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,291773,63905346] |
[a1,a2,a3,a4,a6] |
Generators |
[-175:2736:1] [167:10830:1] |
Generators of the group modulo torsion |
j |
670654845280086759/818833558805000 |
j-invariant |
L |
10.003395074671 |
L(r)(E,1)/r! |
Ω |
0.16810985701896 |
Real period |
R |
1.2396897346914 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000423 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11210b2 |
Quadratic twists by: -4 |