Atkin-Lehner |
2- 7+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65968j |
Isogeny class |
Conductor |
65968 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
227208568832 = 213 · 72 · 19 · 313 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ -4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4733511851,-125349705150374] |
[a1,a2,a3,a4,a6] |
Generators |
[35383001614275:-16711365229569674:144703125] |
Generators of the group modulo torsion |
j |
2863611978939318479176667557377/55470842 |
j-invariant |
L |
2.4137081346891 |
L(r)(E,1)/r! |
Ω |
0.018201353627071 |
Real period |
R |
22.101910512839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8246f4 |
Quadratic twists by: -4 |