Atkin-Lehner |
2- 5- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86450bp |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
2254459919269376000 = 212 · 53 · 7 · 136 · 194 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -2 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-847203,-291391103] |
[a1,a2,a3,a4,a6] |
Generators |
[-588:2179:1] [-562:2985:1] |
Generators of the group modulo torsion |
j |
537992456301668506949/18035679354155008 |
j-invariant |
L |
11.259973772947 |
L(r)(E,1)/r! |
Ω |
0.15768681862634 |
Real period |
R |
0.99176662950632 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998493 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86450q2 |
Quadratic twists by: 5 |