Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688bv |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3523400869671825408 = 212 · 310 · 79 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1509608,708679728] |
[a1,a2,a3,a4,a6] |
Generators |
[649:1372:1] |
Generators of the group modulo torsion |
j |
789529529265625/7311624327 |
j-invariant |
L |
5.5469951594018 |
L(r)(E,1)/r! |
Ω |
0.25122321337713 |
Real period |
R |
2.7599933366205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2793j2 6384be2 |
Quadratic twists by: -4 -7 |