Atkin-Lehner |
2- 3+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
44616o |
Isogeny class |
Conductor |
44616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1073160405412482816 = -1 · 28 · 33 · 114 · 139 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,227756,-27166556] |
[a1,a2,a3,a4,a6] |
Generators |
[3082:86757:8] |
Generators of the group modulo torsion |
j |
481283696/395307 |
j-invariant |
L |
3.4039305217849 |
L(r)(E,1)/r! |
Ω |
0.15287438929881 |
Real period |
R |
5.5665480290879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999636 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89232v2 44616e2 |
Quadratic twists by: -4 13 |